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A cube is painted on all faces and cut into equal small cubes. Exactly 8 of the small cubes have no paint. How many small cubes are there in all?

Competition practiceDice & Cubes
  • A64
  • B27
  • C125
  • D48

Step-by-Step Solution

The unpainted cubes form an inner cube with along each edge, where is the number along an edge of the big cube. gives , so and there are small cubes.
Answer: A) 64

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