.calc-container {
font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif;
max-width: 600px;
margin: 20px auto;
padding: 25px;
border: 1px solid #e0e0e0;
border-radius: 12px;
background-color: #ffffff;
box-shadow: 0 4px 20px rgba(0,0,0,0.08);
}
.calc-header {
text-align: center;
margin-bottom: 25px;
}
.calc-header h2 {
color: #2c3e50;
margin: 0;
font-size: 24px;
}
.calc-group {
margin-bottom: 15px;
}
.calc-group label {
display: block;
font-weight: 600;
margin-bottom: 8px;
color: #34495e;
}
.calc-group select, .calc-group input {
width: 100%;
padding: 12px;
border: 1px solid #ced4da;
border-radius: 6px;
box-sizing: border-box;
font-size: 16px;
}
.calc-btn {
width: 100%;
background-color: #3498db;
color: white;
padding: 14px;
border: none;
border-radius: 6px;
font-size: 18px;
font-weight: bold;
cursor: pointer;
transition: background-color 0.3s;
margin-top: 10px;
}
.calc-btn:hover {
background-color: #2980b9;
}
.calc-result {
margin-top: 25px;
padding: 20px;
background-color: #f8f9fa;
border-radius: 8px;
text-align: center;
}
.result-value {
font-size: 28px;
font-weight: 800;
color: #27ae60;
display: block;
margin-top: 5px;
}
.shape-fields {
display: none;
}
.active-fields {
display: block;
}
.article-section {
max-width: 800px;
margin: 40px auto;
line-height: 1.6;
color: #333;
}
.article-section h2 {
color: #2c3e50;
border-bottom: 2px solid #3498db;
padding-bottom: 10px;
}
.article-section h3 {
color: #2980b9;
margin-top: 25px;
}
.formula-box {
background: #f1f1f1;
padding: 15px;
border-left: 5px solid #3498db;
margin: 15px 0;
font-family: "Courier New", Courier, monospace;
}
function updateFields() {
var shape = document.getElementById("shapeSelect").value;
var fields = document.getElementsByClassName("shape-fields");
for (var i = 0; i < fields.length; i++) {
fields[i].classList.remove("active-fields");
}
document.getElementById(shape + "Fields").classList.add("active-fields");
document.getElementById("calcResult").style.display = "none";
}
function calculateVolume() {
var shape = document.getElementById("shapeSelect").value;
var volume = 0;
var isValid = true;
if (shape === "box") {
var l = parseFloat(document.getElementById("length").value);
var w = parseFloat(document.getElementById("width").value);
var h = parseFloat(document.getElementById("heightBox").value);
if (isNaN(l) || isNaN(w) || isNaN(h)) isValid = false;
volume = l * w * h;
} else if (shape === "cylinder") {
var r = parseFloat(document.getElementById("radiusCyl").value);
var h = parseFloat(document.getElementById("heightCyl").value);
if (isNaN(r) || isNaN(h)) isValid = false;
volume = Math.PI * Math.pow(r, 2) * h;
} else if (shape === "sphere") {
var r = parseFloat(document.getElementById("radiusSphere").value);
if (isNaN(r)) isValid = false;
volume = (4/3) * Math.PI * Math.pow(r, 3);
} else if (shape === "cone") {
var r = parseFloat(document.getElementById("radiusCone").value);
var h = parseFloat(document.getElementById("heightCone").value);
if (isNaN(r) || isNaN(h)) isValid = false;
volume = (1/3) * Math.PI * Math.pow(r, 2) * h;
}
var resultDiv = document.getElementById("calcResult");
var resultVal = document.getElementById("resultValue");
if (!isValid || volume < 0) {
alert("Please enter valid positive numbers for all fields.");
resultDiv.style.display = "none";
return;
}
resultVal.innerText = volume.toLocaleString(undefined, {maximumFractionDigits: 4});
resultDiv.style.display = "block";
}
How to Calculate Volume: A Comprehensive Guide
Volume is the measure of the three-dimensional space occupied by an object. Whether you are shipping a package, filling a swimming pool, or calculating the capacity of a storage tank, understanding how to calculate volume is essential in both daily life and professional engineering.
What is Volume?
In physics and mathematics, volume is a scalar quantity that expresses the amount of "stuff" an object can hold or the space it displaces. It is measured in cubic units, such as cubic meters (m³), cubic centimeters (cm³), cubic inches (in³), or liters (L).
Common Volume Formulas
The method for calculating volume depends entirely on the shape of the object. Here are the most common formulas used in our calculator:
1. Rectangular Prism (Box)
The most basic volume calculation is for a box. You simply multiply the three dimensions together.
Volume = Length × Width × Height
Example: If a box is 5 meters long, 3 meters wide, and 2 meters high, the volume is 5 × 3 × 2 = 30 cubic meters.
2. Cylinder
To find the volume of a cylinder (like a pipe or a soda can), you find the area of the circular base and multiply it by the height.
Volume = π × r² × h
Where r is the radius and h is the height. (π ≈ 3.14159)
3. Sphere
Calculating the volume of a perfectly round ball requires only the radius.
Volume = (4/3) × π × r³
Example: A ball with a radius of 3 inches has a volume of approximately 113.1 cubic inches.
4. Cone
A cone is exactly one-third the volume of a cylinder with the same base and height.
Volume = (1/3) × π × r² × h
Units of Measurement Conversion
When calculating volume, ensure all your measurements are in the same unit. If you measure length in inches but height in feet, your result will be incorrect. Common conversions include:
- 1 cubic meter = 1,000 liters
- 1 cubic foot = 1,728 cubic inches
- 1 gallon ≈ 231 cubic inches
Why Use This Calculator?
While the math is straightforward, manual calculations often lead to errors, especially when dealing with π (pi) or cubic exponents. Our Volume Calculator provides instant, precise results for four major geometric shapes, helping you plan projects, complete homework, or manage logistics with confidence.