Comprehension Direction: A solid cube is painted green on two opposite faces and red on the remaining ones. It is then cut into 64 smaller cubes. Answ

Question

How many smaller cubes will have only 2 faces painted, one with red and the other with green?
1. 16
2. 24
3. 32
4. 8

Answer 1

Correct Answer - Option 1 : 16

The larger cube is cut into 64 smaller cubes. This implies that the edge of a smaller cube is one-fourth that of the larger cube.

We know that the two opposite faces are painted green and the remaining faces are painted red.

Only two faces are coloured green and four are coloured red.

Only 8 edges are there that adjacent faces are red and green coloured.

Corners on those edges not included because they have 2 red and one green-colored face.

So, Cubes which have one red and one green face = 8 × 2 = 16

Hence, "16" is the correct answer.