Calculate the volume of cubes, rectangular boxes, cylinders, spheres, cones, and pyramids — with formulas and unit conversion.
| Unit | Volume |
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| Unit | Capacity |
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Volume measures the amount of three-dimensional space a shape occupies, expressed in cubic units. Most volume formulas combine a base area with a height, or scale a radius by a constant depending on the shape's curvature.
A cube's volume is its side length cubed. A rectangular box multiplies length, width, and height. A cylinder's volume is pi times the radius squared times the height. A sphere's volume is four-thirds pi times the radius cubed. Cones and pyramids both use one-third of the base area times height, since they taper to a point.
Volume describes the physical space a solid object takes up, while capacity usually refers to how much liquid or gas a container can hold. The two are closely related — 1 cubic metre equals 1,000 litres — which is why this calculator also converts your result into common liquid units like litres and gallons.
Measure length, width, and height in feet, then use the rectangular box option to get cubic feet directly. This is the standard unit used by moving companies and freight calculators.
Exactly 1,000 litres. This calculator automatically converts your volume result into litres and US gallons so you don't need to do the conversion by hand.
This comes from integral calculus — as a cone tapers linearly to a point, the cross-sectional area shrinks faster than a cylinder's constant cross-section, and the math works out to exactly one-third of the equivalent cylinder's volume.