Question

a cube is painted red on two adjacent faces and black on the surfaces opposite to the red surface and orange on the remaining faces now the cube is divided into 216 smaller cubes of equal size. how many smaller cubes will have no surface printed?

Answer 1

Therefore, we will have only 4 cubes with 3 sides painted. The other 4 cubes will have only 2 sides painted. For 2 sides painted, we look for the edges. 8 edges, each edge having 10 cubes will have 2 sides painted.