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Only three faces of this cube are painted: the top yellow, the front blue and the right side red. The three hidden faces are unpainted. After cutting along the lines, how many small cubes have no colour on them?

Competition practiceDice & Cubes
  • A1
  • B19
  • C12
  • D8

Step-by-Step Solution

A small cube escapes paint if it is not in the top layer, not in the front slice and not in the right slice. That leaves a block: cubes. (1 is the count when all six faces are painted.)
Answer: D) 8

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