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A slab 6 cubes long, 4 cubes deep and only 2 cubes high is painted on all six faces and cut into its small cubes. How many small cubes have no paint at all?

Competition practiceDice & Cubes
  • A8
  • B16
  • C4
  • D0

Step-by-Step Solution

The slab is only 2 cubes high, so every small cube is in the top layer or the bottom layer and has at least that face painted. No cube is unpainted. (8 forgets the height: )
Answer: D) 0

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