Volume is the amount of three dimensional space a shape takes up. You express volume in cubic units.


The most-used volume calculation is for the cuboid, a solid figure bounded by six faces. It is like a box. All its angles are right angles, and its opposite faces are equal. A cube is a special case where all the faces are square.

The formula for calculating the volume of a cuboid is volume equals length times width times height.

Volume = Length × Width × Height

V = L × W × H


A sphere is a round object. For example, balls, globes, and the sun are all common spheres.

The formula for calculating the volume of a sphere is volume equals four pi times the radius cubed divided by three.

V = 4/3 × π × r3


A cylinder is a curvilinear geometric shape. It looks like a can. Like the sphere, the cylinder is circle-based.

Its volume equals pi times the radius squared times the height.

Volume = π × radius squared × height

V = π × r2 × h 

V = π × r × r × h

V = πr2h