What is the volume formula for a cube?

The formula for the volume of a cube is derived from the properties of its geometrical shape. A cube has six equal faces, and each face is a square. The volume of a three-dimensional object is calculated by multiplying its length, width, and height.

In the case of a cube, all edges are of equal length, which can be referred to as "edge." Therefore, to find the volume, you multiply the length of one edge by itself for width and then again for height:

Volume = edge × edge × edge = edge^3.

This is why the formula is expressed as V = (edge)^3, demonstrating how the cube's three dimensions (length, width, and height) all relate to the length of an edge. This understanding is essential in geometry for calculating space within three-dimensional objects.