function updateInputs() {
var shape = document.getElementById("shapeSelector").value;
var d1 = document.getElementById("divDimension1");
var d2 = document.getElementById("divDimension2");
var d3 = document.getElementById("divDimension3");
var l1 = document.getElementById("labelDimension1");
var l2 = document.getElementById("labelDimension2");
var l3 = document.getElementById("labelDimension3");
// Reset visibility
d1.style.display = "block";
d2.style.display = "block";
d3.style.display = "block";
if (shape === "box") {
l1.innerText = "Length:";
l2.innerText = "Width:";
l3.innerText = "Height:";
} else if (shape === "cylinder") {
l1.innerText = "Radius:";
l2.innerText = "Height:";
d3.style.display = "none";
} else if (shape === "sphere") {
l1.innerText = "Radius:";
d2.style.display = "none";
d3.style.display = "none";
} else if (shape === "cone") {
l1.innerText = "Radius:";
l2.innerText = "Height:";
d3.style.display = "none";
}
document.getElementById("volumeResultArea").style.display = "none";
}
function calculateVolume() {
var shape = document.getElementById("shapeSelector").value;
var v1 = parseFloat(document.getElementById("dimension1").value);
var v2 = parseFloat(document.getElementById("dimension2").value);
var v3 = parseFloat(document.getElementById("dimension3").value);
var result = 0;
var formula = "";
if (isNaN(v1) && shape !== "") {
alert("Please enter at least the first dimension.");
return;
}
if (shape === "box") {
if (isNaN(v1) || isNaN(v2) || isNaN(v3)) { alert("Please enter all dimensions."); return; }
result = v1 * v2 * v3;
formula = "Formula: Length × Width × Height";
} else if (shape === "cylinder") {
if (isNaN(v1) || isNaN(v2)) { alert("Please enter Radius and Height."); return; }
result = Math.PI * Math.pow(v1, 2) * v2;
formula = "Formula: π × Radius² × Height";
} else if (shape === "sphere") {
if (isNaN(v1)) { alert("Please enter Radius."); return; }
result = (4/3) * Math.PI * Math.pow(v1, 3);
formula = "Formula: 4/3 × π × Radius³";
} else if (shape === "cone") {
if (isNaN(v1) || isNaN(v2)) { alert("Please enter Radius and Height."); return; }
result = (1/3) * Math.PI * Math.pow(v1, 2) * v2;
formula = "Formula: 1/3 × π × Radius² × Height";
}
document.getElementById("volumeDisplay").innerText = result.toLocaleString(undefined, {maximumFractionDigits: 3}) + " cubic units";
document.getElementById("formulaDisplay").innerText = formula;
document.getElementById("volumeResultArea").style.display = "block";
}
Understanding Volume Calculations
Volume represents the amount of three-dimensional space an object occupies. Whether you are calculating the amount of water needed to fill a swimming pool, determining shipping costs for a parcel, or measuring fuel capacity, understanding volume is essential in physics, engineering, and daily life.
Common Volume Formulas
Depending on the geometry of the object, the mathematical approach varies. Here are the most common formulas used in our calculator:
Rectangular Prism: Volume = Length × Width × Height. This is the standard formula for boxes and rooms.
Cylinder: Volume = π × r² × h. Used for pipes, cans, and tanks.
Sphere: Volume = 4/3 × π × r³. Used for balls, globes, and planets.
Cone: Volume = 1/3 × π × r² × h. Used for funnels and party hats.
Practical Examples
Example 1: Shipping Box
If you have a box that is 10 inches long, 5 inches wide, and 8 inches tall: 10 × 5 × 8 = 400 cubic inches.
Example 2: Soda Can
A cylinder with a radius of 3 cm and a height of 12 cm: π × 3² × 12 ≈ 339.29 cubic cm.
Units of Measurement
It is crucial to ensure all input dimensions are in the same unit (e.g., all inches or all centimeters) before calculating. The resulting volume will always be in "cubic" units, such as:
Length Unit
Volume Unit
Inches
Cubic Inches (in³)
Feet
Cubic Feet (ft³)
Centimeters
Cubic Centimeters (cm³ or mL)
Meters
Cubic Meters (m³)
Why Use a Volume Calculator?
Manual calculations are prone to human error, especially when involving Pi (π) or cubic exponents. Our 3D Volume Calculator provides instant, accurate results for standard geometric shapes, helping you plan construction projects, estimate storage requirements, or complete math homework with confidence.