A cube painted red on all sides is cut into 64 equal smaller cubes. How many cubes have only one face painted?

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A 8
B 16
C 24
D 32

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Answer: C. 24

64 = 4 × 4 × 4, so each edge has 4 small cubes. Cubes with only one face painted lie in the middle of each face: (4 - 2) × (4 - 2) = 4 per face. With 6 faces: 6 × 4 = 24.

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A cube painted red on all sides is cut into 64 equal smaller cubes. How many cubes have only one face painted?

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