Remember

Square Divisions? This problem demonstrates the deconstruction of a square into smaller squares with integer-length sides.

Given a cube with edge length 60, can you find a deconstruction of the cube into smaller cubes (none of which are alike) with integer length sides (or prove it can't be done)?

(In reply to

Question by Meg & Amy)

Since negative lenghts are nonsense, *integer-length sides *means that the sides of each cube must be positive integers, no fractions or decimals.