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Three faces of this cube that meet at one corner are painted yellow; the other three are bare. After cutting along the lines, how many small cubes have no paint?

Competition practiceDice & Cubes
  • A1
  • B12
  • C9
  • D8

Step-by-Step Solution

An unpainted cube must avoid the top layer, the front layer and the right layer. That leaves 2 cubes in each direction: . (1 would be right if all six faces were painted.)
Answer: D) 8

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