Question

A cube with edges of length 2 centimeters is buildt from centimeter cubes. If you paint the faces of this cube and then break it into centimeter cubes, how many cubes wil be painted on three faces? how many will be painted on two faces? On one face? How many will be unpainted? What if the edge has a length different from 2? What if the edge length of the large cube is 3, 4, or 5 sm? What if the edge length of the cube was 20 cm? Can you generalize this to an edge length of n cm?