Candle Wax Weight Calculator

Candle Wax Weight Calculator & Guide | Expert Insights body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background-color: #f8f9fa; color: #333; line-height: 1.6; margin: 0; padding: 0; } .container { max-width: 960px; margin: 20px auto; padding: 20px; background-color: #fff; border-radius: 8px; box-shadow: 0 2px 10px rgba(0, 0, 0, 0.1); } header { background-color: #004a99; color: #fff; padding: 20px 0; text-align: center; border-radius: 8px 8px 0 0; margin-bottom: 20px; } header h1 { margin: 0; font-size: 2.2em; } .calculator-section { background-color: #ffffff; padding: 30px; border-radius: 8px; margin-bottom: 30px; box-shadow: inset 0 1px 5px rgba(0,0,0,0.05); } h2, h3 { color: #004a99; margin-bottom: 15px; border-bottom: 2px solid #eee; padding-bottom: 5px; } .input-group { margin-bottom: 20px; display: flex; flex-direction: column; align-items: flex-start; } .input-group label { display: block; margin-bottom: 8px; font-weight: bold; color: #555; } .input-group input[type="number"], .input-group select { width: 100%; padding: 10px; border: 1px solid #ccc; border-radius: 4px; box-sizing: border-box; /* Ensures padding doesn't affect width */ font-size: 1em; } .input-group input[type="number"]:focus, .input-group select:focus { border-color: #004a99; outline: none; box-shadow: 0 0 0 2px rgba(0, 74, 153, 0.2); } .input-group small { display: block; margin-top: 5px; color: #666; font-size: 0.85em; } .error-message { color: #dc3545; font-size: 0.85em; margin-top: 5px; display: none; /* Hidden by default */ } .button-group { display: flex; gap: 10px; margin-top: 25px; } button { padding: 12px 20px; border: none; border-radius: 4px; cursor: pointer; font-size: 1em; transition: background-color 0.3s ease; } .btn-calculate { background-color: #004a99; color: #fff; } .btn-calculate:hover { background-color: #003a7a; } .btn-reset { background-color: #6c757d; color: #fff; } .btn-reset:hover { background-color: #5a6268; } .btn-copy { background-color: #17a2b8; color: #fff; } .btn-copy:hover { background-color: #138496; } #results { margin-top: 30px; padding: 25px; background-color: #e9ecef; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.08); text-align: center; } #results h3 { margin-top: 0; color: #004a99; border-bottom: none; } .primary-result { font-size: 2.5em; font-weight: bold; color: #004a99; margin: 15px 0; padding: 15px; background-color: #ffffcc; border-radius: 6px; display: inline-block; } .intermediate-values { display: flex; flex-wrap: wrap; justify-content: center; gap: 20px; margin-top: 20px; } .intermediate-value { text-align: center; padding: 10px; } .intermediate-value strong { display: block; font-size: 1.4em; color: #004a99; } .intermediate-value span { display: block; font-size: 0.9em; color: #555; } .formula-explanation { font-size: 0.95em; color: #333; margin-top: 25px; text-align: left; padding: 15px; background-color: #f1f1f1; border-left: 4px solid #004a99; } .chart-container { margin-top: 30px; text-align: center; background-color: #fff; padding: 20px; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.08); } .chart-container canvas { max-width: 100%; height: auto; } .table-container { margin-top: 30px; overflow-x: auto; background-color: #fff; padding: 20px; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.08); } table { width: 100%; border-collapse: collapse; margin-top: 15px; } th, td { padding: 12px; text-align: left; border-bottom: 1px solid #ddd; } th { background-color: #004a99; color: #fff; font-weight: bold; } td { background-color: #f8f9fa; } tr:nth-child(even) td { background-color: #e9ecef; } caption { font-size: 1.1em; font-weight: bold; color: #004a99; margin-bottom: 10px; caption-side: top; text-align: left; } .article-content { margin-top: 40px; padding: 30px; background-color: #fff; border-radius: 8px; box-shadow: 0 2px 10px rgba(0, 0, 0, 0.05); } .article-content p, .article-content ul, .article-content ol { margin-bottom: 15px; } .article-content h2 { margin-top: 30px; color: #004a99; border-bottom: 2px solid #eee; padding-bottom: 5px; } .article-content h3 { margin-top: 20px; color: #0056b3; border-bottom: 1px dashed #ccc; padding-bottom: 3px; } .article-content a { color: #004a99; text-decoration: none; } .article-content a:hover { text-decoration: underline; } .faq-list dt { font-weight: bold; color: #004a99; margin-top: 15px; } .faq-list dd { margin-left: 20px; margin-bottom: 10px; } #related-tools ul { list-style: none; padding: 0; } #related-tools li { margin-bottom: 15px; padding-bottom: 10px; border-bottom: 1px solid #eee; } #related-tools li:last-child { border-bottom: none; } #related-tools a { font-weight: bold; display: block; margin-bottom: 5px; } .variable-table table { width: 100%; border-collapse: collapse; margin-top: 15px; } .variable-table th, .variable-table td { padding: 10px; border: 1px solid #ddd; text-align: left; } .variable-table th { background-color: #004a99; color: #fff; } .variable-table tr:nth-child(even) td { background-color: #f2f2f2; } @media (min-width: 768px) { .input-group { flex-direction: row; align-items: center; } .input-group label { width: 40%; margin-bottom: 0; } .input-group input[type="number"], .input-group select { width: 60%; } .button-group { justify-content: center; } .intermediate-values { justify-content: space-around; } }

Candle Wax Weight Calculator

Precise Calculations for Perfect Candles

Candle Wax Weight Calculator

Enter your container dimensions and desired fill percentage to calculate the exact amount of wax needed.

Cylinder Square/Rectangle Sphere Cone Select the shape of your candle container.
Inner diameter of the cylindrical container (inches).
Inner height of the cylindrical container (inches).
Inner width of the square/rectangular container (inches).
Inner length of the square/rectangular container (inches).
Inner height of the square/rectangular container (inches).
Inner radius of the spherical container (inches).
Effective filling height of the spherical container (inches). Often less than diameter.
Inner radius at the top of the cone (inches).
Inner radius at the bottom of the cone (inches).
Inner height of the cone (inches).
Percentage of the container volume to fill with wax (e.g., 90 for 90%).
Density of your wax (g/cm³ or oz/in³). Common values: 0.9 g/cm³ for soy, 0.85 g/cm³ for paraffin. Ensure consistent units with container dimensions.

Calculation Results

0.00 oz
0.00 in³ Container Volume
0.00 in³ Filled Volume
0.00 oz Wax Weight (Result)
Formula Used:

1. Calculate the container's internal volume (V) based on its shape and dimensions (in cubic inches).

2. Determine the desired filled volume (V_filled) by applying the fill percentage: V_filled = V * (Fill Percentage / 100).

3. Calculate the wax weight (W) using the filled volume and wax density (D): W = V_filled * D.

If density is in g/cm³, convert cubic inches to cubic centimeters (1 in³ ≈ 16.3871 cm³), then multiply by density to get grams. Finally, convert grams to ounces (1 oz ≈ 28.35 g) for the final result in ounces.

Wax Weight vs. Container Volume

Typical Wax Densities & Weights
Wax Type Typical Density (g/cm³) Typical Density (oz/in³) Approx. Weight per 10 in³ (oz)
Soy Wax (e.g., GW 464) 0.90 – 0.92 0.49 – 0.51 4.9 – 5.1
Paraffin Wax (e.g., 120-140°F melt point) 0.85 – 0.90 0.47 – 0.49 4.7 – 4.9
Beeswax 0.95 – 0.97 0.52 – 0.53 5.2 – 5.3
Coconut Wax Blend 0.88 – 0.90 0.48 – 0.49 4.8 – 4.9

What is Candle Wax Weight Calculation?

What is Candle Wax Weight Calculation? Candle wax weight calculation is the process of determining the precise amount of wax needed to fill a specific candle container. This involves understanding the container's volume, the type of wax used, and accounting for factors like fill level and wax density. Accurately calculating wax weight is crucial for candle makers to avoid waste, ensure consistent product quality, and manage costs effectively. It's a fundamental skill for both hobbyists and professional candle businesses aiming for efficiency and profitability.

Who Should Use a Candle Wax Weight Calculator?

Anyone involved in making candles can benefit from a candle wax weight calculator:

  • Hobbyist Candle Makers: To ensure they buy the right amount of wax for their projects and achieve consistent results in different containers.
  • Small Business Owners: To accurately cost their products, optimize inventory, and prevent material overspending.
  • Professional Manufacturers: For large-scale production, precise batching, and maintaining strict quality control.
  • Beginners: To demystify the process and get started with confidence, avoiding common pitfalls like under- or overfilling containers.

Common Misconceptions About Candle Wax Weight

  • "All waxes weigh the same": This is false. Different wax types have varying densities, meaning a volume of soy wax will weigh differently than the same volume of paraffin or beeswax.
  • "Fill to the brim is always best": Overfilling can lead to spills, uneven burn, and safety hazards. Underfilling results in wasted space and a less aesthetically pleasing candle. The calculator helps find the optimal fill level.
  • "Volume is all that matters": While volume dictates capacity, density is the key to translating that volume into an accurate weight for purchasing and costing.

Candle Wax Weight Formula and Mathematical Explanation

The calculation of candle wax weight is based on fundamental geometric and physical principles. The core idea is to first determine the volume of the space to be filled and then convert that volume into a mass (weight) using the wax's density.

Step-by-Step Derivation:

  1. Calculate Container Volume (V): This is the first and most critical step. The formula used depends entirely on the container's shape. Common shapes and their volume formulas (in cubic inches, assuming dimensions are in inches) are:
    • Cylinder: V = π * (radius)² * height = π * (diameter/2)² * height
    • Square/Rectangle: V = length * width * height
    • Sphere: V = (4/3) * π * (radius)³ (Note: For a candle, we often calculate the volume of a spherical cap up to the fill height, but for simplicity, we often use the full sphere volume adjusted by height or approximate it.) For a practical candle fill, a simplified approach might use V = π * (effective_radius)² * fill_height where effective_radius might be an average or derived value. For this calculator, we use the standard sphere volume up to the fill height: V = (π * h²) / 3 * (3r – h) where 'h' is the fill height and 'r' is the sphere radius. However, a more practical approach for candle making using a spherical container might approximate by V = π * (radius)² * fill_height or a simplified spherical cap. Let's use the volume of a spherical segment formula for accuracy: V = (1/3) * π * h² * (3R – h), where R is the sphere radius and h is the fill height. If using the full sphere calculation for simplicity: V = (4/3) * π * r³. For this calculator, we'll use the spherical cap formula for filling up to a certain height 'h': V = (1/3) * π * h² * (3R – h) where R is the sphere radius. However, if 'h' is simply the diameter (full sphere), it simplifies. Let's stick to V = (4/3) * π * r³ for the *total* volume, and then apply fill percentage, assuming 'h' is the fill height if it's less than the diameter. For practical filling, we often use V = π * r² * h_fill, approximating a cylinder within the sphere, or the spherical cap. Let's use the spherical cap V = (1/3) * π * h² * (3R – h), where R is the sphere radius and h is the fill height.
    • Cone: V = (1/3) * π * (radius)² * height (Use the radius at the surface of the wax fill, which might be different from the top radius if the cone is not filled to the brim)
    For simplicity and broader application, many calculators use the volume of a cylinder as a base and adjust, or directly calculate for the specific shapes. This calculator uses standard geometric formulas.
  2. Apply Fill Percentage (Fill %): Not all containers are filled to the absolute brim. To find the volume of wax needed (V_filled): V_filled = V * (Fill % / 100)
  3. Convert Volume to Weight using Density (D): Wax density is crucial. It's usually given in grams per cubic centimeter (g/cm³) or ounces per cubic inch (oz/in³). The formula is: Weight (W) = V_filled * D
  4. Unit Conversion: This is where many calculations get tricky.
    • If dimensions are in inches, the volume (V) will be in cubic inches (in³).
    • If wax density (D) is in oz/in³, the weight (W) will be directly in ounces (oz).
    • If wax density (D) is in g/cm³, you need to convert units:
      • Convert V_filled from in³ to cm³: V_filled (cm³) = V_filled (in³) * 16.3871
      • Calculate weight in grams: W (g) = V_filled (cm³) * D (g/cm³)
      • Convert grams to ounces: W (oz) = W (g) / 28.3495
    This calculator assumes input dimensions are in inches and density can be provided in oz/in³ or g/cm³, performing the necessary conversions for a final output in ounces.

Variable Explanations

Variable Meaning Unit Typical Range
Container Dimensions Measurements defining the internal size of the candle holder (e.g., diameter, radius, width, length, height). Inches (in) 0.1 – 20+
V (Volume) The total internal geometric volume of the container. Cubic Inches (in³) Calculated (typically 1 – 1000+)
Fill % The desired percentage of the container's volume to be filled with wax. Percent (%) 50 – 100
V_filled (Filled Volume) The actual volume of wax to be used after applying the fill percentage. Cubic Inches (in³) Calculated (typically 0.5 – 900+)
D (Wax Density) The mass per unit volume of the specific wax being used. oz/in³ or g/cm³ 0.85 – 0.97 (g/cm³); 0.47 – 0.53 (oz/in³)
W (Wax Weight) The final calculated mass of wax required for the candle. Ounces (oz) Calculated (typically 1 – 50+)

Practical Examples (Real-World Use Cases)

Example 1: Standard Soy Wax Candle in a Jar

A candle maker wants to create a soy wax candle in a cylindrical jar.

  • Container Shape: Cylinder
  • Diameter: 3 inches
  • Height: 4 inches
  • Fill Percentage: 90%
  • Wax Type: Soy wax (e.g., Golden Brands 464)
  • Wax Density: Approximately 0.91 g/cm³

Calculation Steps:

  1. Calculate Radius: Radius = Diameter / 2 = 3 in / 2 = 1.5 in
  2. Calculate Volume (V): V = π * (1.5 in)² * 4 in ≈ 3.14159 * 2.25 in² * 4 in ≈ 28.27 in³
  3. Calculate Filled Volume (V_filled): V_filled = 28.27 in³ * (90 / 100) ≈ 25.45 in³
  4. Convert Volume to cm³: V_filled (cm³) ≈ 25.45 in³ * 16.3871 cm³/in³ ≈ 417.18 cm³
  5. Calculate Weight (grams): W (g) ≈ 417.18 cm³ * 0.91 g/cm³ ≈ 379.63 g
  6. Convert Weight to Ounces: W (oz) ≈ 379.63 g / 28.3495 g/oz ≈ 13.39 oz

Result: Approximately 13.39 oz of soy wax is needed.

Interpretation: This weight ensures the candle is filled appropriately without overflowing, providing a good aesthetic and burn time. The maker should purchase slightly more wax to account for potential spillage or minor calculation variations.

Example 2: Small Pillar Candle (Beeswax)

A crafter is making a small beeswax pillar candle.

  • Container Shape: Cylinder (approximating a pillar)
  • Diameter: 2 inches
  • Height: 3 inches
  • Fill Percentage: 100%
  • Wax Type: Beeswax
  • Wax Density: Approximately 0.96 g/cm³

Calculation Steps:

  1. Calculate Radius: Radius = Diameter / 2 = 2 in / 2 = 1 in
  2. Calculate Volume (V): V = π * (1 in)² * 3 in ≈ 3.14159 * 1 in² * 3 in ≈ 9.42 in³
  3. Calculate Filled Volume (V_filled): V_filled = 9.42 in³ * (100 / 100) = 9.42 in³
  4. Convert Volume to cm³: V_filled (cm³) ≈ 9.42 in³ * 16.3871 cm³/in³ ≈ 154.34 cm³
  5. Calculate Weight (grams): W (g) ≈ 154.34 cm³ * 0.96 g/cm³ ≈ 148.17 g
  6. Convert Weight to Ounces: W (oz) ≈ 148.17 g / 28.3495 g/oz ≈ 5.23 oz

Result: Approximately 5.23 oz of beeswax is needed.

Interpretation: This calculated weight helps the crafter purchase the exact amount of expensive beeswax needed, minimizing waste and ensuring the pillar has a solid, consistent form.

How to Use This Candle Wax Weight Calculator

Using our candle wax weight calculator is straightforward. Follow these steps for accurate results:

  1. Select Container Shape: Choose the shape that best matches your candle container from the dropdown menu (Cylinder, Square/Rectangle, Sphere, Cone).
  2. Enter Dimensions: Input the internal measurements of your container. Ensure you use consistent units (the calculator defaults to inches).
    • For Cylinders: Enter Diameter and Height.
    • For Squares/Rectangles: Enter Width, Length, and Height.
    • For Spheres: Enter Radius and the desired Fill Height (this might be less than the diameter).
    • For Cones: Enter Top Radius, Bottom Radius, and Height.
    *Important:* Always measure the inner dimensions, not the outer ones.
  3. Specify Fill Percentage: Enter the percentage of the container you intend to fill with wax. A common range is 85-95% to leave some space for the melt pool and prevent overflow.
  4. Input Wax Density: Provide the density of the wax you are using. This is crucial as different waxes have different densities. You can often find this information from the wax manufacturer. Ensure you input it in either g/cm³ or oz/in³. The calculator handles the conversion.
  5. Click Calculate: Press the "Calculate" button.

Reading the Results:

  • Primary Result (e.g., 13.39 oz): This is the total estimated weight of wax required for your candle, displayed prominently.
  • Intermediate Values:
    • Container Volume: Shows the total internal volume of your container in cubic inches.
    • Filled Volume: Displays the volume of wax you'll actually use based on your fill percentage.
    • Wax Weight (Result): This is the final calculated weight, often mirroring the primary result for clarity.
  • Formula Explanation: Provides a clear breakdown of how the results were calculated.
  • Chart and Table: Visualize how wax weight changes with volume and consult typical densities for common wax types.

Decision-Making Guidance: The calculated wax weight is your primary guide for purchasing wax. Always consider buying slightly more than calculated to account for potential errors, spillage during the pouring process, and to have extra for testing wicks or troubleshooting.

Key Factors That Affect Candle Wax Weight Results

Several factors influence the accuracy and practical application of the calculated wax weight:

  1. Wax Density Variations: While tables provide typical ranges, the exact density of a wax can vary slightly batch to batch or between brands. Always use the manufacturer's specified density if available. Using an incorrect density is the most common reason for inaccurate wax weight calculations.
  2. Container Shape Complexity: Irregularly shaped containers (e.g., intricate patterns, non-uniform walls, extreme tapers) can make precise volume calculation difficult. The calculator uses standard geometric formulas; complex shapes may require adjustments or different calculation methods.
  3. Wall Thickness: The calculator uses internal dimensions. Significant wall thickness variations between containers of the same nominal size can affect the actual wax volume needed.
  4. Air Bubbles and Contraction: Wax contracts as it cools, which can create sinkholes or require a second pour. The fill percentage helps mitigate this, but severe contraction might necessitate slightly more wax than calculated for a perfectly level top. Air bubbles trapped during pouring also affect the final density and weight.
  5. Additives (Fragrance Oils, Dyes): While typically used in small percentages (5-10%), fragrance oils and dyes can slightly alter the overall density of the wax mixture. For most candle making, this effect is negligible and doesn't require significant adjustment to the calculated wax weight. However, for high-volume production, accounting for this minor density change might be considered.
  6. Measuring Accuracy: Precision in measuring the container's internal dimensions is paramount. Even small errors in diameter, height, or width can lead to noticeable differences in the final calculated wax weight, especially for larger containers.
  7. Desired Melt Pool Size: The fill percentage directly impacts the final melt pool size and burn characteristics. While the calculation determines the wax *volume*, the chosen fill percentage influences how the candle burns and looks.
  8. Unit Consistency: Ensuring that dimensions are in inches and density is correctly translated (either by using oz/in³ directly or converting g/cm³ accurately) is vital. Inconsistent units will lead to wildly incorrect results.

Frequently Asked Questions (FAQ)

Q1: How accurate is this candle wax weight calculator?
A1: The calculator is highly accurate for standard geometric shapes, provided you input correct internal dimensions and wax density. Real-world factors like wax contraction and measurement tolerances might require slight adjustments.
Q2: My container isn't a perfect shape. What should I do?
A2: For complex or irregular shapes, try to approximate the volume. You might measure the volume by filling the container with water, then measuring the water's weight (knowing water's density is approx. 1 g/cm³ or 0.0361 lb/in³) or by using an average of dimensions.
Q3: What does 'wax density' mean?
A3: Wax density is the mass of the wax per unit of volume (e.g., grams per cubic centimeter or ounces per cubic inch). It's essential because different waxes have different weights for the same volume.
Q4: Can I use this calculator if my measurements are in centimeters?
A4: The calculator is designed for inches. If your measurements are in centimeters, you'll need to convert them to inches first (1 inch = 2.54 cm) before inputting them, or adjust the density accordingly (1 g/cm³ ≈ 0.578 oz/in³).
Q5: What's the difference between wax weight and wax volume?
A5: Volume is the amount of space a substance occupies (e.g., cubic inches). Weight (or mass) is how much matter is in that substance. Density connects volume and weight: Weight = Volume × Density.
Q6: Why is fill percentage important?
A6: Fill percentage ensures you don't overfill (causing spills) or underfill (looking unprofessional). It helps leave space for the melt pool and accounts for wax contraction during cooling.
Q7: How much extra wax should I buy?
A7: It's wise to purchase about 10-15% more wax than calculated. This buffer covers potential spills, second pours for sinkholes, wick testing, and slight variations in density or measurements.
Q8: Does fragrance oil affect the wax weight calculation?
A8: Fragrance oils and dyes slightly change the density of the wax mixture. However, since they are used in small quantities (typically 5-10%), the impact on the overall wax weight calculation is usually minimal and often disregarded for practical purposes.
var currentChart = null; function getWaxDensity(densityValue, unit) { var densityGramsPerCm = 0; if (unit.toLowerCase() === 'g/cm³' || unit.toLowerCase() === 'gcm3') { densityGramsPerCm = parseFloat(densityValue); } else if (unit.toLowerCase() === 'oz/in³' || unit.toLowerCase() === 'ozin3') { // Convert oz/in³ to g/cm³ // 1 oz ≈ 28.3495 g // 1 in³ ≈ 16.3871 cm³ // 1 oz/in³ ≈ (28.3495 g) / (16.3871 cm³) ≈ 1.73 g/cm³ densityGramsPerCm = parseFloat(densityValue) * 1.73; } else { // Default fallback if unit is unclear or not provided, assume g/cm³ densityGramsPerCm = parseFloat(densityValue); } return densityGramsPerCm; } function calculateWaxWeight() { // Input values var shape = document.getElementById('containerShape').value; var fillPercentage = parseFloat(document.getElementById('fillPercentage').value); var waxDensityInput = parseFloat(document.getElementById('waxDensity').value); // We assume the density input is primarily g/cm³ or oz/in³. Let's standardize to g/cm³ for internal calculation. // A more robust solution might have a unit selector, but for this prompt, we'll infer or assume common units. // Let's assume the user inputs a number, and we'll try to interpret common ranges or provide a default conversion. // For simplicity, let's assume the input field 'waxDensity' should be interpreted as g/cm³ if it's around 0.8-1.0, // or oz/in³ if it's around 0.4-0.6. This is a simplification. var waxDensityGramsPerCm = waxDensityInput; if (waxDensityInput 0.4) { // Heuristic: likely oz/in³ waxDensityGramsPerCm = waxDensityInput * 1.73; // Convert oz/in³ to g/cm³ } // Validate inputs var errors = false; if (isNaN(fillPercentage) || fillPercentage 100) { document.getElementById('fillPercentageError').innerText = "Please enter a valid percentage between 1 and 100."; document.getElementById('fillPercentageError').style.display = 'block'; errors = true; } else { document.getElementById('fillPercentageError').style.display = 'none'; } if (isNaN(waxDensityGramsPerCm) || waxDensityGramsPerCm <= 0) { document.getElementById('waxDensityError').innerText = "Please enter a valid wax density."; document.getElementById('waxDensityError').style.display = 'block'; errors = true; } else { document.getElementById('waxDensityError').style.display = 'none'; } var volumeInCubicInches = 0; // Calculate volume based on shape if (shape === 'cylinder') { var diameter = parseFloat(document.getElementById('diameter').value); var height = parseFloat(document.getElementById('height').value); if (isNaN(diameter) || diameter <= 0) { document.getElementById('diameterError').innerText = "Invalid diameter."; document.getElementById('diameterError').style.display = 'block'; errors = true; } else { document.getElementById('diameterError').style.display = 'none'; } if (isNaN(height) || height <= 0) { document.getElementById('heightError').innerText = "Invalid height."; document.getElementById('heightError').style.display = 'block'; errors = true; } else { document.getElementById('heightError').style.display = 'none'; } if (!errors) { var radius = diameter / 2; volumeInCubicInches = Math.PI * Math.pow(radius, 2) * height; } } else if (shape === 'square') { var width = parseFloat(document.getElementById('width').value); var length = parseFloat(document.getElementById('length').value); var height = parseFloat(document.getElementById('heightSquare').value); if (isNaN(width) || width <= 0) { document.getElementById('widthError').innerText = "Invalid width."; document.getElementById('widthError').style.display = 'block'; errors = true; } else { document.getElementById('widthError').style.display = 'none'; } if (isNaN(length) || length <= 0) { document.getElementById('lengthError').innerText = "Invalid length."; document.getElementById('lengthError').style.display = 'block'; errors = true; } else { document.getElementById('lengthError').style.display = 'none'; } if (isNaN(height) || height <= 0) { document.getElementById('heightSquareError').innerText = "Invalid height."; document.getElementById('heightSquareError').style.display = 'block'; errors = true; } else { document.getElementById('heightSquareError').style.display = 'none'; } if (!errors) { volumeInCubicInches = length * width * height; } } else if (shape === 'sphere') { var radius = parseFloat(document.getElementById('radius').value); var fillHeight = parseFloat(document.getElementById('heightSphere').value); // Using heightSphere as fill height if (isNaN(radius) || radius <= 0) { document.getElementById('radiusError').innerText = "Invalid radius."; document.getElementById('radiusError').style.display = 'block'; errors = true; } else { document.getElementById('radiusError').style.display = 'none'; } if (isNaN(fillHeight) || fillHeight (2 * radius)) { document.getElementById('heightSphereError').innerText = "Invalid fill height (must be > 0 and <= diameter)."; document.getElementById('heightSphereError').style.display = 'block'; errors = true; } else { document.getElementById('heightSphereError').style.display = 'none'; } if (!errors) { // Volume of a spherical cap: V = (1/3) * pi * h^2 * (3R – h) // where R is the sphere radius and h is the fill height var R = radius; var h = fillHeight; volumeInCubicInches = (1/3) * Math.PI * Math.pow(h, 2) * (3 * R – h); } } else if (shape === 'cone') { var topRadius = parseFloat(document.getElementById('coneRadius').value); var bottomRadius = parseFloat(document.getElementById('coneBottomRadius').value); var height = parseFloat(document.getElementById('coneHeight').value); if (isNaN(topRadius) || topRadius <= 0) { document.getElementById('coneRadiusError').innerText = "Invalid top radius."; document.getElementById('coneRadiusError').style.display = 'block'; errors = true; } else { document.getElementById('coneRadiusError').style.display = 'none'; } if (isNaN(bottomRadius) || bottomRadius <= 0) { document.getElementById('coneBottomRadiusError').innerText = "Invalid bottom radius."; document.getElementById('coneBottomRadiusError').style.display = 'block'; errors = true; } else { document.getElementById('coneBottomRadiusError').style.display = 'none'; } if (isNaN(height) || height <= 0) { document.getElementById('coneHeightError').innerText = "Invalid height."; document.getElementById('coneHeightError').style.display = 'block'; errors = true; } else { document.getElementById('coneHeightError').style.display = 'none'; } if (!errors) { // Frustum of a cone volume formula volumeInCubicInches = (1/3) * Math.PI * height * (Math.pow(topRadius, 2) + topRadius * bottomRadius + Math.pow(bottomRadius, 2)); } } if (errors) { document.getElementById('results').style.display = 'none'; return; } var filledVolumeInCubicInches = volumeInCubicInches * (fillPercentage / 100); // Constants for conversion var cm3PerIn3 = 16.3871; var gramsPerOz = 28.3495; // Calculate weight in grams first, then convert to ounces var volumeInCm3 = filledVolumeInCubicInches * cm3PerIn3; var weightGrams = volumeInCm3 * waxDensityGramsPerCm; var weightOunces = weightGrams / gramsPerOz; // Display results document.getElementById('volumeResult').innerText = volumeInCubicInches.toFixed(2) + ' in³'; document.getElementById('filledVolumeResult').innerText = filledVolumeInCubicInches.toFixed(2) + ' in³'; document.getElementById('weightResult').innerText = weightOunces.toFixed(2) + ' oz'; document.getElementById('primaryResult').innerText = weightOunces.toFixed(2) + ' oz'; document.getElementById('results').style.display = 'block'; // Update chart updateChart(volumeInCubicInches, weightOunces); } function validateInput(inputElement) { var id = inputElement.id; var value = parseFloat(inputElement.value); var errorElement = document.getElementById(id + 'Error'); var errorMsg = ""; var isValid = true; // Basic number validation if (isNaN(value)) { errorMsg = "Please enter a number."; isValid = false; } else { // Specific range checks if (id === 'fillPercentage') { if (value 100) { errorMsg = "Must be between 1 and 100."; isValid = false; } } else if (id === 'waxDensity') { if (value <= 0) { errorMsg = "Density must be positive."; isValid = false; } } else { // Dimensions (diameter, height, width, length, radius, etc.) if (value 0) { if (value > (2 * parseFloat(document.getElementById('radius').value))) { errorMsg = "Fill height cannot exceed container diameter."; isValid = false; } } } } if (isValid) { if (errorElement) errorElement.style.display = 'none'; } else { if (errorElement) { errorElement.innerText = errorMsg; errorElement.style.display = 'block'; } } // Immediately update calculator if input is valid and no specific error is shown if (isValid && errorElement.style.display === 'none') { // Don't call calculateWaxWeight directly here to avoid excessive calls. // var the button click handle it, or use debouncing if needed for real-time updates. } } function updateCalculator() { // Trigger calculation if all required fields have valid-looking inputs var allInputsValid = true; var requiredFields = ['fillPercentage', 'waxDensity']; var shape = document.getElementById('containerShape').value; if (shape === 'cylinder') { requiredFields.push('diameter', 'height'); } else if (shape === 'square') { requiredFields.push('width', 'length', 'heightSquare'); } else if (shape === 'sphere') { requiredFields.push('radius', 'heightSphere'); } else if (shape === 'cone') { requiredFields.push('coneRadius', 'coneBottomRadius', 'coneHeight'); } for (var i = 0; i < requiredFields.length; i++) { var input = document.getElementById(requiredFields[i]); if (!input || input.value === "" || parseFloat(input.value) <= 0 || isNaN(parseFloat(input.value))) { // Check for specific range errors too var errorElement = document.getElementById(requiredFields[i] + 'Error'); if (!errorElement || errorElement.style.display === 'none') { // Only consider it invalid if no explicit error message is showing // allInputsValid = false; // Temporarily disable auto-calc if any field is empty or seems invalid } } // Also check if any error messages are displayed for these fields var errorDisplay = document.getElementById(requiredFields[i] + 'Error'); if (errorDisplay && errorDisplay.style.display === 'block') { allInputsValid = false; } } // If all essential fields have values and no explicit errors are shown, calculate. // This allows real-time updates as the user types. if (allInputsValid) { calculateWaxWeight(); } else { // Hide results if inputs become invalid during typing document.getElementById('results').style.display = 'none'; } } function resetCalculator() { document.getElementById('containerShape').value = 'cylinder'; document.getElementById('diameter').value = '3'; document.getElementById('height').value = '4'; document.getElementById('width').value = '3'; document.getElementById('length').value = '3'; document.getElementById('heightSquare').value = '4'; document.getElementById('radius').value = '2'; document.getElementById('heightSphere').value = '4'; document.getElementById('coneRadius').value = '2'; document.getElementById('coneBottomRadius').value = '1'; document.getElementById('coneHeight').value = '4'; document.getElementById('fillPercentage').value = '90'; document.getElementById('waxDensity').value = '0.9'; // Default to a common soy wax density in g/cm³ document.getElementById('results').style.display = 'none'; // Hide all dynamic input groups initially and show the correct one var dynamicGroups = document.getElementsByClassName('dynamic-input-group'); for (var i = 0; i < dynamicGroups.length; i++) { dynamicGroups[i].style.display = 'none'; } updateShapeInputs(); // Show the inputs for the default 'cylinder' shape clearAllErrorMessages(); // Optionally, recalculate with defaults calculateWaxWeight(); } function clearAllErrorMessages() { var errorElements = document.querySelectorAll('.error-message'); for (var i = 0; i < errorElements.length; i++) { errorElements[i].style.display = 'none'; errorElements[i].innerText = ''; } } function copyResults() { var primaryResult = document.getElementById('primaryResult').innerText; var volumeResult = document.getElementById('volumeResult').innerText; var filledVolumeResult = document.getElementById('filledVolumeResult').innerText; var weightResult = document.getElementById('weightResult').innerText; var shape = document.getElementById('containerShape').value; var shapeText = "Shape: " + shape.charAt(0).toUpperCase() + shape.slice(1); var dimensions = ""; if (shape === 'cylinder') { dimensions = "Diameter: " + document.getElementById('diameter').value + " in, Height: " + document.getElementById('height').value + " in"; } else if (shape === 'square') { dimensions = "Width: " + document.getElementById('width').value + " in, Length: " + document.getElementById('length').value + " in, Height: " + document.getElementById('heightSquare').value + " in"; } else if (shape === 'sphere') { dimensions = "Radius: " + document.getElementById('radius').value + " in, Fill Height: " + document.getElementById('heightSphere').value + " in"; } else if (shape === 'cone') { dimensions = "Top Radius: " + document.getElementById('coneRadius').value + " in, Bottom Radius: " + document.getElementById('coneBottomRadius').value + " in, Height: " + document.getElementById('coneHeight').value + " in"; } var fillPercentage = "Fill Percentage: " + document.getElementById('fillPercentage').value + "%"; var waxDensity = "Wax Density: " + document.getElementById('waxDensity').value + " (assumed g/cm³ or oz/in³)"; var resultsText = "— Candle Wax Weight Calculation Results —\n\n"; resultsText += shapeText + "\n"; resultsText += dimensions + "\n"; resultsText += fillPercentage + "\n"; resultsText += waxDensity + "\n\n"; resultsText += "Primary Result (Wax Weight): " + primaryResult + "\n"; resultsText += "Container Volume: " + volumeResult + "\n"; resultsText += "Filled Volume: " + filledVolumeResult + "\n"; resultsText += "Calculated Wax Weight: " + weightResult + "\n\n"; resultsText += "Assumptions: Input dimensions in inches. Density interpreted for conversion."; try { navigator.clipboard.writeText(resultsText).then(function() { // Success feedback (optional) var copyButton = document.querySelector('.btn-copy'); var originalText = copyButton.innerText; copyButton.innerText = 'Copied!'; setTimeout(function() { copyButton.innerText = originalText; }, 1500); }, function(err) { console.error('Could not copy text: ', err); // Fallback for older browsers or environments where clipboard API is restricted alert('Could not copy results. Please manually select and copy the text above.'); }); } catch (e) { console.error('Clipboard API not available or failed: ', e); alert('Could not copy results. Please manually select and copy the text above.'); } } function updateShapeInputs() { var shape = document.getElementById('containerShape').value; var dynamicGroups = document.getElementsByClassName('dynamic-input-group'); for (var i = 0; i < dynamicGroups.length; i++) { dynamicGroups[i].style.display = 'none'; } if (shape === 'cylinder') { document.getElementById('cylinderInputs').style.display = 'block'; } else if (shape === 'square') { document.getElementById('squareInputs').style.display = 'block'; } else if (shape === 'sphere') { document.getElementById('sphereInputs').style.display = 'block'; } else if (shape === 'cone') { document.getElementById('coneInputs').style.display = 'block'; } clearAllErrorMessages(); // Clear errors when shape changes updateCalculator(); // Recalculate based on new shape inputs } function updateChart(totalVolume, calculatedWeight) { var ctx = document.getElementById('waxWeightChart').getContext('2d'); // Generate data points for the chart var volumes = []; var weights = []; var baseShape = document.getElementById('containerShape').value; var baseDensity = parseFloat(document.getElementById('waxDensity').value); // Interpret density similar to calculateWaxWeight if (baseDensity 0.4) { // Heuristic: likely oz/in³ baseDensity = baseDensity * 1.73; // Convert oz/in³ to g/cm³ } for (var i = 1; i <= 10; i++) { var currentVolume = totalVolume * (i / 10); volumes.push(currentVolume.toFixed(2)); var currentVolumeCm3 = currentVolume * 16.3871; var currentWeightGrams = currentVolumeCm3 * baseDensity; var currentWeightOz = currentWeightGrams / 28.3495; weights.push(currentWeightOz.toFixed(2)); } if (currentChart) { currentChart.destroy(); } currentChart = new Chart(ctx, { type: 'line', data: { labels: volumes, // Volume in cubic inches datasets: [{ label: 'Wax Weight (oz)', data: weights, borderColor: '#004a99', backgroundColor: 'rgba(0, 74, 153, 0.2)', fill: true, tension: 0.1 }] }, options: { responsive: true, maintainAspectRatio: false, scales: { x: { title: { display: true, text: 'Filled Volume (in³)' } }, y: { title: { display: true, text: 'Wax Weight (oz)' }, beginAtZero: true } }, plugins: { tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || ''; if (label) { label += ': '; } if (context.parsed.y !== null) { label += context.parsed.y + ' oz'; } return label; } } } } } }); } // Initial setup on page load document.addEventListener('DOMContentLoaded', function() { resetCalculator(); // Set default values document.getElementById('containerShape').addEventListener('change', updateShapeInputs); // Call updateCalculator initially to show results based on defaults if inputs are valid updateCalculator(); }); // Add a placeholder Chart.js library script tag if you want to use it. // However, the prompt requested NO external libraries. // So, we will implement a simple chart using native Canvas API if Chart.js is not allowed. // Re-reading: "Native OR Pure SVG () – ❌ No external chart libraries" // This means we need to draw the chart manually. This is complex. // Let's provide a very basic manual canvas drawing if Chart.js is truly disallowed. // — Manual Canvas Chart Drawing — // This section will replace the Chart.js usage above. // It requires manually calculating coordinates, drawing axes, labels, and lines. // This is significantly more complex than using a library. function drawManualChart(canvasId, volumes, weights) { var canvas = document.getElementById(canvasId); if (!canvas) return; var ctx = canvas.getContext('2d'); ctx.clearRect(0, 0, canvas.width, canvas.height); // Clear previous drawing var chartWidth = canvas.clientWidth; var chartHeight = canvas.clientHeight; var padding = 40; // Padding around the chart area // Define chart area var chartAreaWidth = chartWidth – 2 * padding; var chartAreaHeight = chartHeight – 2 * padding; // Find max values for scaling var maxVolume = Math.max(…volumes.map(Number)); var maxWeight = Math.max(…weights.map(Number)); // Draw axes ctx.strokeStyle = '#ccc'; ctx.lineWidth = 1; ctx.beginPath(); // Y-axis ctx.moveTo(padding, padding); ctx.lineTo(padding, chartHeight – padding); // X-axis ctx.lineTo(chartWidth – padding, chartHeight – padding); ctx.stroke(); // Draw labels and ticks (simplified) ctx.fillStyle = '#555′; ctx.font = '12px Arial'; ctx.textAlign = 'center'; // Y-axis labels and ticks var numYTicks = 5; for (var i = 0; i 1 ? volumes.length : 1; for (var i = 0; i < numXTicks; i++) { var xValue = volumes[i]; var xPos = padding + (i / (numXTicks – 1)) * chartAreaWidth; if (numXTicks === 1) xPos = padding + chartAreaWidth / 2; // Center if only one point ctx.fillText(xValue, xPos, chartHeight – padding + 15); ctx.beginPath(); ctx.moveTo(xPos, chartHeight – padding); ctx.lineTo(xPos, chartHeight – padding + 5); ctx.stroke(); } // Draw the line graph ctx.strokeStyle = '#004a99'; ctx.lineWidth = 2; ctx.beginPath(); for (var i = 0; i < volumes.length; i++) { var xPos = padding + (i / (numXTicks – 1)) * chartAreaWidth; if (numXTicks === 1) xPos = padding + chartAreaWidth / 2; var yPos = chartHeight – padding – (weights[i] / maxWeight) * chartAreaHeight; if (i === 0) { ctx.moveTo(xPos, yPos); } else { ctx.lineTo(xPos, yPos); } } ctx.stroke(); // Add title ctx.fillStyle = '#004a99'; ctx.font = '16px Arial'; ctx.textAlign = 'center'; ctx.fillText('Wax Weight vs. Container Volume', chartWidth / 2, padding / 2); } // — Override updateChart to use manual drawing — function updateChart(totalVolume, calculatedWeight) { var volumesArray = []; var weightsArray = []; var baseDensity = parseFloat(document.getElementById('waxDensity').value); if (baseDensity 0.4) { // Heuristic: likely oz/in³ baseDensity = baseDensity * 1.73; // Convert oz/in³ to g/cm³ } for (var i = 1; i <= 10; i++) { var currentVolume = totalVolume * (i / 10); volumesArray.push(currentVolume.toFixed(2)); var currentVolumeCm3 = currentVolume * 16.3871; var currentWeightGrams = currentVolumeCm3 * baseDensity; var currentWeightOz = currentWeightGrams / 28.3495; weightsArray.push(currentWeightOz.toFixed(2)); } // Handle case where totalVolume might be zero or very small if (volumesArray.length === 0) { volumesArray.push("0.00"); weightsArray.push("0.00"); } drawManualChart('waxWeightChart', volumesArray, weightsArray); }

Leave a Comment