Question

The question is based on a solid cube which has been shaded as shown on pairs of opposite faces.

How many small cubes are there in which only one face is shaded?

• A. 6
• B. 8
• C. 10
• D. 12

Answer 1

The correct option is A 6

In every surface, only one cube is painted on one face.

Now as there are total 6 surfaces, so 6 cubes are painted on one face only. No. of cubes with only one face is shaded$=(n-2{)}^2\times 6$

$=(3-2{)}^2\times 6=6$.

Hence, option A is correct.