.vol-calc-container {
font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif;
max-width: 800px;
margin: 20px auto;
padding: 25px;
border: 1px solid #ddd;
border-radius: 12px;
background-color: #ffffff;
box-shadow: 0 4px 6px rgba(0,0,0,0.1);
color: #333;
}
.vol-calc-container h2 {
color: #2c3e50;
text-align: center;
margin-top: 0;
}
.vol-calc-form {
display: grid;
grid-template-columns: 1fr;
gap: 15px;
margin-bottom: 25px;
}
.vol-input-group {
display: flex;
flex-direction: column;
}
.vol-input-group label {
font-weight: 600;
margin-bottom: 5px;
color: #444;
}
.vol-input-group input, .vol-input-group select {
padding: 10px;
border: 1px solid #ccc;
border-radius: 6px;
font-size: 16px;
}
.vol-btn {
background-color: #3498db;
color: white;
padding: 12px;
border: none;
border-radius: 6px;
cursor: pointer;
font-size: 18px;
font-weight: bold;
transition: background-color 0.3s;
}
.vol-btn:hover {
background-color: #2980b9;
}
#vol-result-box {
margin-top: 20px;
padding: 20px;
background-color: #f8f9fa;
border-radius: 8px;
border-left: 5px solid #3498db;
display: none;
}
.vol-result-value {
font-size: 24px;
font-weight: bold;
color: #2c3e50;
}
.vol-content {
margin-top: 40px;
line-height: 1.6;
}
.vol-content h3 {
color: #2c3e50;
border-bottom: 2px solid #eee;
padding-bottom: 10px;
}
.field-toggle {
display: none;
}
.field-active {
display: flex;
}
Professional Volume Calculator
How Volume is Calculated
Volume is the measure of three-dimensional space occupied by an object. It is measured in cubic units (such as cubic centimeters, cubic meters, or cubic inches). Depending on the shape of the object, different mathematical formulas are applied.
Common Volume Formulas
- Rectangular Prism: Volume = Length × Width × Height
- Cylinder: Volume = π × Radius² × Height
- Sphere: Volume = (4/3) × π × Radius³
- Cone: Volume = (1/3) × π × Radius² × Height
- Square Pyramid: Volume = (1/3) × Side² × Height
Practical Examples
Example 1: A Shipping Box
If you have a box that is 12 inches long, 8 inches wide, and 10 inches tall, the volume is calculated as:
12 × 8 × 10 = 960 cubic inches.
Example 2: A Soda Can (Cylinder)
A standard can with a radius of 3 cm and a height of 12 cm would have a volume of:
π × 3² × 12 ≈ 339.29 cubic centimeters.
Why Understanding Volume Matters
Calculating volume is essential in various fields including construction, shipping, manufacturing, and science. Whether you are determining how much concrete is needed for a foundation, the capacity of a water tank, or the displacement of an engine, accurate volume calculations ensure efficiency and cost-effectiveness.
function toggleVolumeFields() {
var shape = document.getElementById("shapeSelector").value;
var gLength = document.getElementById("group-length");
var gWidth = document.getElementById("group-width");
var gHeight = document.getElementById("group-height");
var gRadius = document.getElementById("group-radius");
// Reset all to hidden
gLength.style.display = "none";
gWidth.style.display = "none";
gHeight.style.display = "none";
gRadius.style.display = "none";
if (shape === "prism") {
gLength.style.display = "flex";
gWidth.style.display = "flex";
gHeight.style.display = "flex";
} else if (shape === "cylinder") {
gRadius.style.display = "flex";
gHeight.style.display = "flex";
} else if (shape === "sphere") {
gRadius.style.display = "flex";
} else if (shape === "cone") {
gRadius.style.display = "flex";
gHeight.style.display = "flex";
} else if (shape === "pyramid") {
gLength.style.display = "flex";
document.getElementById("label-length").innerText = "Base Side Length (s)";
gHeight.style.display = "flex";
}
// Reset label for prism if switched back
if (shape !== "pyramid") {
document.getElementById("label-length").innerText = "Length (l)";
}
}
function performVolumeCalculation() {
var shape = document.getElementById("shapeSelector").value;
var l = parseFloat(document.getElementById("inputLength").value);
var w = parseFloat(document.getElementById("inputWidth").value);
var h = parseFloat(document.getElementById("inputHeight").value);
var r = parseFloat(document.getElementById("inputRadius").value);
var result = 0;
var formula = "";
if (shape === "prism") {
if (isNaN(l) || isNaN(w) || isNaN(h)) { alert("Please enter Length, Width, and Height"); return; }
result = l * w * h;
formula = "Formula: L × W × H";
} else if (shape === "cylinder") {
if (isNaN(r) || isNaN(h)) { alert("Please enter Radius and Height"); return; }
result = Math.PI * Math.pow(r, 2) * h;
formula = "Formula: π × r² × h";
} else if (shape === "sphere") {
if (isNaN(r)) { alert("Please enter Radius"); return; }
result = (4/3) * Math.PI * Math.pow(r, 3);
formula = "Formula: (4/3) × π × r³";
} else if (shape === "cone") {
if (isNaN(r) || isNaN(h)) { alert("Please enter Radius and Height"); return; }
result = (1/3) * Math.PI * Math.pow(r, 2) * h;
formula = "Formula: (1/3) × π × r² × h";
} else if (shape === "pyramid") {
if (isNaN(l) || isNaN(h)) { alert("Please enter Side Length and Height"); return; }
result = (1/3) * Math.pow(l, 2) * h;
formula = "Formula: (1/3) × s² × h";
}
document.getElementById("vol-display-output").innerText = result.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 4}) + " cubic units";
document.getElementById("vol-formula-note").innerText = formula;
document.getElementById("vol-result-box").style.display = "block";
}