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A cube is painted on all its faces and then cut into 343 identical small cubes. How many of the small cubes have no paint on any face?

Competition practiceDice & Cubes
  • A216
  • B150
  • C98
  • D125

Step-by-Step Solution

343 small cubes means . The unpainted cubes form the core left after removing one layer from every face: . (216 removes only one layer, )
Answer: D) 125

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