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A cube is painted on every face and sliced into 216 identical small cubes. How many small cubes have paint on at least two faces?

Competition practiceDice & Cubes
  • A48
  • B64
  • C152
  • D56

Step-by-Step Solution

216 is . At least two faces means two or three. Three: the 8 corners. Two: on each of the 12 edges, 48. Together . (48 forgets the corners.)
Answer: D) 56

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