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Common solid volumes

Calculate the volume of a rectangular box, cylinder or sphere. Enter the dimensions shown for the chosen solid.

Start with your own numbers

Editable example

An example is filled in. Replace it with your own data to calculate.

Choose the solid, then enter radius, length, width or height using the same unit throughout.

Choose solid shape. Check the selected option before entering the remaining values.
Enter radius or box length, for example 3. Use the displayed unit; replace the example with your own value.
Enter cylinder height or box width, for example 5. Use the displayed unit; replace the example with your own value.

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Example result

Volume

141.37cubic units

Volume uses cubed length units. Lengths in centimeters produce cubic centimeters, not directly liters.

Worked steps

  1. Cylinder volume = π × radius² × height

Use the same unit for every length. The result is in that unit cubed. Geometric volume does not directly equal usable container capacity; wall thickness is not deducted.

Method and scope

Box volume is length times width times height. Cylinder volume is pi times radius squared times height, while sphere volume is four thirds times pi times radius cubed.

Radius is half of diameter. If dimensions are centimetres, volume is cubic centimetres rather than automatically litres.

All lengths must use the same unit and describe the intended geometry. Outer geometric volume is not necessarily usable container capacity because wall thickness and internal features are not deducted.

What this helps you do

Calculate the volume of a rectangular box, cylinder or sphere. Enter the dimensions shown for the chosen solid.

What to enter

Start with solid shape, then fill the other relevant fields in the units shown. The field hints explain the required format and examples.

How the calculation works

Box volume is length times width times height. Cylinder volume is pi times radius squared times height, while sphere volume is four thirds times pi times radius cubed.

Worked example

A 2 by 3 by 4 box has volume 24 cubic units. A cylinder with radius 2 and height 3 has volume about 37.6991 cubic units.

Understanding the answer

Radius is half of diameter. If dimensions are centimetres, volume is cubic centimetres rather than automatically litres.

Scope and limitations

All lengths must use the same unit and describe the intended geometry. Outer geometric volume is not necessarily usable container capacity because wall thickness and internal features are not deducted.

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