Volume Calculator
This free volume calculator finds the volume of common three-dimensional shapes — a cube, box (rectangular prism), cylinder, sphere, cone, or tube — from their dimensions. Volume measures how much space a shape occupies or how much it can hold, in cubic units. Choose your shape, enter the measurements, and the calculator returns the cubic volume along with the formula used.
How to Use the Volume Calculator
- Select the shape — cube, box, cylinder, sphere, cone, or tube.
- Enter the required dimensions (sides, radius, height).
- Calculate — see the volume.
Volume Formulas
| Shape | Volume Formula |
|---|---|
| Cube | side³ |
| Box (rectangular prism) | length × width × height |
| Cylinder | π × radius² × height |
| Sphere | (4 ÷ 3) × π × radius³ |
| Cone | (1 ÷ 3) × π × radius² × height |
| Tube | π × (R² − r²) × length |
Worked Examples
A cube with side 4: volume = 4³ = 64 cubic units. A box 5 × 3 × 2 = 30 cubic units. A cylinder with radius 3 and height 10: π × 9 × 10 ≈ 282.7 cubic units. A sphere with radius 3: (4/3) × π × 27 ≈ 113.1 cubic units.
Units and Conversions
Volume comes out in cubic units of whatever length unit you use — cubic centimeters for centimeters, cubic inches for inches, and so on. To convert to liters or gallons for capacity, use the appropriate factor (for example, 1 liter = 1,000 cubic centimeters).
Why Use a Volume Calculator?
- Find the capacity of tanks, boxes, and containers.
- Estimate materials like concrete, water, or fill.
- Solve geometry homework for any 3D shape.
- Compare the space different shapes occupy.
Frequently Asked Questions
How do you calculate volume?
Use the formula for the shape: a cube is side³, a box is length × width × height, a cylinder is π × radius² × height, and a sphere is (4/3) × π × radius³.
What is the volume of a cube?
The volume of a cube is the side length cubed (side³). A cube with side 4 has a volume of 64 cubic units.
What is the volume of a box?
For a rectangular box, multiply length × width × height. A 5 × 3 × 2 box has a volume of 30 cubic units.
What units is volume measured in?
Volume is in cubic units of the length unit you use — cubic centimeters, cubic inches, cubic feet — and can be converted to liters or gallons for capacity.
Is this volume calculator free?
Yes — it is completely free, requires no signup, and works for cubes, boxes, cylinders, spheres, cones, and tubes.