Maths Solids

Volume calculator

Length
Width
Height
Unit
Volume 9,000
l × w × h = 9,000
Surface area 2,700
In litres 9
In US gallons 2.378
Live · volume, surface area and capacity

A cubic centimetre is a millilitre, so a box measured in centimetres gives you litres without a second conversion. The same box measured in inches or feet is converted for you.

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320 × 100

Volume is the space a solid encloses. A box is length times width times height; a cylinder is π times the radius squared times the height; a sphere is four-thirds π times the radius cubed; a cone is a third of the matching cylinder. Each shape here also reports its surface area and its capacity in litres and US gallons.

How to use it

1 Pick the shape from the row of buttons.
2 Enter the measurements and choose the unit they are in.
3 Read the volume, and the litres and gallons underneath if you are filling something.

A cone is exactly one third of the cylinder that would contain it, and a pyramid is one third of its box. That is not a coincidence or an approximation — it falls out of the same integral, and it is worth remembering because it turns two formulas into one.

Questions

Half the diameter. Measuring across a tank gives the diameter, so halve it before entering it here.

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300 × 250
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