Question

A bigger cube is painted yellow on each of its faces. Now the cube is cut into 343 identical pieces making minimum number of cuts. How many of the smaller cubes will have exactly three faces painted?

Answer 1

Answer:

The number of smaller cubes which will have exactly three faces painted = 8 cubes

Explanation:

The whole cube is cut into 343 identical pieces.

But the point is painting is done only over the faces of the cube which implies that the inner portion remains untouched. While cutting the whole cube only the smaller cubes at vertical points acquire the three faces painted and a cube has only 8 vertices, therefore only 8 cubes will have exactly three faces painted.