A large cube is painted on all six faces. Now it is cut into a certain number of smaller identical cubes. It was found that among the smaller cubes, there were eight cubes which don't have any faces…

Question

A large cube is painted on all six faces. Now it is cut into a certain number of smaller identical cubes. It was found that among the smaller cubes, there were eight cubes which don't have any faces painted. How many small cubes have exactly two faces painted ?

PYQPulse · Accepted Answer

24

PYQPulse · Answer

Explanation: Eight unpainted interior cubes imply a 4×4×4 division; cubes with exactly two faces painted = 12 edges × 2 = 24.

A large cube is painted on all six faces. Now it is cut into a certain number of smaller identical cubes. It was found that among the smaller cubes, there were eight cubes which don't have any faces painted. How many small cubes have exactly two faces painted ?

Answer: D. 24

Explanation

A large cube is painted on all six faces. Now it is cut into a certain number of smaller identical cubes. It was found that among the smaller cubes, there were eight cubes which don't have any faces painted. How many small cubes have exactly two faces painted ?

Answer: D. 24

Explanation