How much space does it take up?
Volume is the amount of three-dimensional space a solid occupies, measured in cubic units. It tells you how much water a tank holds, how much concrete a foundation needs or how much packing fits in a box.
This calculator covers 14 solids: cube, rectangular box, sphere, hemisphere, cylinder, cone, square and rectangular pyramids, cone frustum, capsule, ellipsoid, torus, spherical cap and regular tetrahedron. It also converts the result to litres, cubic feet and US gallons.
How it is calculated
Box: V = length × width × height
Cylinder: V = π r² h
Cone: V = ⅓ π r² h
Sphere: V = ⁴⁄₃ π r³
Worked example
Volumes with lengths in centimetres
- Cylinder, r 3 and h 8
- 226.19 cm³
- Sphere, r 5
- 523.6 cm³
- Cone, r 3 and h 6
- 56.55 cm³
- Box, 6 × 4 × 3
- 72 cm³
Handy conversions
| Unit | Equals |
|---|---|
| 1 litre | 1,000 cm³ |
| 1 m³ | 1,000 litres |
| 1 cubic foot | 28.32 litres |
| 1 US gallon | 3.785 litres |