Geometry and Measurement for Grade 12, Problem ID: 4929

Geometry and  Measurement K12The 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