Imagine one large cube made of 1000 white centimeter cubes. Suppose the outside of the large cube was painted black. How many of the small white cubes would have the following?

Question

1) 0 faces painted black
2) 1 face painted black
3) 2 faces painted black
4) 3 faces painted black

Answer 1

1) 8*8*8 = 512 inside
2) 6*8*8 = 384 on faces
3) 12*8 = 96 on edges
4) 8 on corners