alleryA painted 3x3x3 cube is cut into 27 small cubes. How many have 2 painted faces?
A8
B24
C6
D12
Answer & Solution
Correct answer: D. 12
1. Each edge of the big cube has 3 small cubes: 2 corners and 1 middle cube.
2. Only the middle cube of an edge has exactly two painted faces.
3. A cube has 12 edges, so there are 12 such cubes.
4. Corners (8) have three painted faces and face centers (6) have one.
_Source: Wikipedia, Cube (CC BY-SA 4.0), Cube_
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