1. A cube is painted red on all its faces and then cut into 27 equal smaller cubes (3x3x3). How many smaller cubes have no face painted at all?
- A1
- B8
- C6
- D0
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Answer: B
The cubes with no painted face lie entirely inside, away from all outer faces. For a 3x3x3 cube, this is (3-2)^3=1 cube, located at the very center.