Cindy has three square wooden boards that are 1 cm thick. The sides of the boards are whole numbers in centimeters, but each of the three boards has different dimensions. The edges of the boards are varnished, while the top and bottom are unvarnished. Cindy cuts these boards into cubes of 1 cubic cm. The result is a pile of cubes with one or two varnished sides and another pile without varnish. It turns out that both stacks contain the same number of cubes.

The question: What were the dimensions of the three boards?

The solution: Click here!