Question

If a painted cube was cut in half along each edge (making 8 smaller cubes), each of these cubes is painted on three sides. If a painted wooden bube is cut into thirds along each edge (making 27 smaller cubes), 8 of these cubes are painted, 12 of these cubes painted on two sides, 6 cubes painted on one side only, and on that is not painted at all. If a painted wooden cube is cut into four parts along each edge, how many smaller cubes are there and how many aer there painted in 3, 2 , 1 and 0 sides respectively?

Answer 1

What is the condition on the small cube being painted on three sides?