A solid cube of side 12 cm has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm. How many cubes have no face painted?
40
32
60
64
Explanation:
2nd layer- 16 cubes have no face painted.
3rd layer- 16 cubes have no face painted.
4th layer- 16 cubes have no face painted.
5th layer - 16 cubes have no face painted.
Hence, total - 16+16+16+16 =64 cubes have no face painted.