What is the formula for the volume of a cube?

The formula for the volume of a cube is derived from the basic geometric understanding that a cube has equal side lengths. When calculating volume, we want to find the space contained within the cube, which is achieved by multiplying the length of each side together.

Since all sides of a cube are of equal length, if we denote the length of one side as "side," the volume can be expressed as:

Volume = side × side × side = side³.

This reflects the three-dimensional nature of the cube, where each dimension (length, width, height) contributes equally.

Other formulas listed pertain to different shapes or scenarios. The formula for a sphere's volume (4/3πr³) is specific to spheres, while the formula length × width × height applies to rectangular prisms, not exclusively to cubes where all dimensions are equal. The formula side² would calculate the area of a square, not the volume of a three-dimensional object like a cube. Thus, the correct formula for the volume of a cube is indeed side³.