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1. A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have on exactly 2 sides>
- A. 13
- B. 13
- C. 13
- D. 13
Answer: Option D
Explanation:
A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2.
This means , we get a 3 x 3 x 3 cube
To get the the sides with just 2 faces painted, picture the edges of the each of the sides of the cube.
Apart from the corners(which have 3 faces painted), all other small cubes have 2 faces painted.
In total, we have 12 cubes of side 2 with exactly 2 sides painted
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