how much greater is the volume of a cube whose edge is 5 inches than the volume of a cube whose edge is 4 inches?
5^3 - 4^3 = ?
To find the volume of a cube, you need to raise its edge length to the power of 3, since all sides of a cube are equal.
For the first cube with an edge length of 5 inches, you calculate the volume by taking 5^3 = 5 * 5 * 5 = 125 cubic inches.
For the second cube with an edge length of 4 inches, you calculate the volume by taking 4^3 = 4 * 4 * 4 = 64 cubic inches.
To find the difference in volume, subtract the volume of the smaller cube from the volume of the larger cube:
125 - 64 = 61 cubic inches.
Therefore, the volume of the cube with an edge of 5 inches is 61 cubic inches greater than the volume of the cube with an edge of 4 inches.