A cube has an edge length of 4 inches. You double the side lengths. How many times greater is the volume of the new cube?

Original cube side length is s = 4 inches, so the vol. is 4^3 in^3, or 64 in^3 = s^3.

If we double the original side length, we get S = 2s, and the new volume

is S^3 = (2s) ^3 = 8s^3 = 8 (64 in^3) = 512 in^3.

Answer: the new cube has a volume 8 times greater than the original cube has.