About the volume calculator
Volume is the amount of space a solid takes up, measured in cubic units. Choose a solid on the tabs, enter its dimensions and pick a unit of length. The result is in cubic units of that length.
Where a simple formula exists, the surface area is shown as well. The volume is also converted to cubic meters, cubic feet, cubic inches, cubic centimeters, liters and US gallons, which is handy for tanks, pools, boxes and containers.
Keep all dimensions in the same unit. For the pyramid the apex is assumed to sit directly above the center of the base.
Formula
- Cube: s³
- Box: l × w × h
- Sphere: 4⁄3 × π × r³
- Hemisphere: 2⁄3 × π × r³
- Cylinder: π × r² × h
- Cone: ⅓ × π × r² × h
- Pyramid: ⅓ × l × w × h
- Ellipsoid: 4⁄3 × π × a × b × c
- Capsule: π × r² × h + 4⁄3 × π × r³
- Torus: 2 × π² × R × r²
Example
A sphere with a radius of 3 m has a volume of 4⁄3 × π × 27 ≈ 113.10 m³, which is about 113,097 liters. A box measuring 2 × 3 × 4 has a volume of 24.