The base of a cube refers to one of its faces, which is a square. To find the length of the perimeter of the base, we need to find the length of one side of the square.
To find the side length, we can use the formula for the volume of a cube. The volume of a cube is given by the formula: volume = side length^3.
In this case, we are given that the volume of the cube is 125 cubic inches. So we can set up the equation:
125 = side length^3.
To find the side length, we need to take the cube root of both sides of the equation. The cube root of 125 is 5, so we have:
side length = 5 inches.
Since the base of the cube is a square, the perimeter of the base is given by the formula: perimeter = 4 * side length.
Substituting the value we found for the side length, we have:
perimeter = 4 * 5 = 20 inches.
Therefore, the length of the perimeter of the base of the cube is 20 inches.