Volume Calculator

Use this Volume Calculator to calculate the volume of common three-dimensional shapes including boxes, cubes, cylinders, cones, spheres, triangular prisms, rectangular pyramids, and ellipsoids.

Volume Formulas

• Rectangular box: V = length × width × height
• Cube: V = side³
• Cylinder: V = π × radius² × height
• Cone: V = ⅓ × π × radius² × height
• Sphere: V = ⁴⁄₃ × π × radius³
• Triangular prism: V = ½ × triangle base × triangle height × prism length
• Rectangular pyramid: V = ⅓ × length × width × height
• Ellipsoid: V = ⁴⁄₃ × π × a × b × c

Example

For a rectangular box measuring 10 ft × 5 ft × 4 ft:

V = 10 × 5 × 4

V = 200 ft³

Important Note

Volume is measured in cubic units. For circles and round solids, make sure you distinguish between radius and diameter. Diameter is twice the radius.

Source

• OpenStax Prealgebra — Geometric Formulas