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)?

It is impossible to decompose a 60x60x60 cube into smaller cubes of distinct integral side lengths. 

Posted by K Sengupta on 2023-03-15 06:57:43