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Math / Volume

Volume Calculator

Calculate volume for a cube, rectangular prism, cylinder, sphere, cone, or triangular prism. Select a shape and enter only its defining dimensions to get a result in cubic units. The selected solid uses its standard geometric volume rule: for example cylinder πr²h, sphere 4πr³/3, cone πr²h/3, or prism base area multiplied by length.

Your inputs

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Calculator settings

units

units

Your result
226.19
cubic units
Volume
A solid in three dimensions · schematic diagram
A solid in three dimensions · schematic diagram

Example inputs shown. Adjust them to explore.

A familiar situation

Estimate how much water a cylindrical planter or storage container can hold.

How to use this calculator

  1. Enter solid, length / radius / side, width / height and the remaining inputs.
  2. Select Calculate to see the answer and its breakdown.
  3. Keep a scenario, change an input and compare the results.

Use consistent units and check the assumptions below before applying the result.

How volume is calculated

The selected solid uses its standard geometric volume rule: for example cylinder πr²h, sphere 4πr³/3, cone πr²h/3, or prism base area multiplied by length. A cylinder with radius 3 cm and height 8 cm has volume π × 3² × 8 ≈ 226.19 cm³.

Cube a³; box lwh; cylinder πr²h; sphere 4πr³/3; cone πr²h/3; triangular prism (bh/2)L.
A worked example

A cylinder with radius 3 cm and height 8 cm has volume π × 3² × 8 ≈ 226.19 cm³.

Assumptions & useful context

The result depends on the values you enter and the method described above. Displayed numbers may be rounded; calculations use the unrounded values. Check that this model matches your situation before relying on it.

Frequently asked questions

Should radius or diameter be entered?

Enter radius for circular shapes; if you know diameter, divide it by two first.

What assumptions apply to a triangular prism?

Its base is a triangle with the two supplied perpendicular legs.

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