The picture shows a large cube 4 x 4 x 4 that was assembled from one-unit cubes.
It will be painted on all 6 sides.
For what size of large cube will the total number of painted faces of the small cubes be equal to the number of unpainted faces?
3 x 3 x 32 x 2 x 24 x 4 x 45 x 5 x 5