A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted ?
A
4
B
6
C
8
D
10
Correct Answer: Option C
Explanation
1. **Find the size:** We have 36 cubes total: 32 small and 4 big. Let's assume the small cubes have side 1. The big cubes must be the next integer size, side 2 (since they fit in a grid). Total Volume = (32 cubes * 1 volume) +