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A square tunnel is cut straight through the middle of a cube from front to back by removing 3 small cubes. The block is then painted all over, including the walls of the tunnel. How many small squares are painted in all?

Competition practiceDice & Cubes
  • A54
  • B52
  • C64
  • D66

Step-by-Step Solution

The outside of the cube has squares, but the tunnel removes one from the front and one from the back: . The tunnel has 4 walls, each 3 squares long: 12 more. Total . (54 ignores the tunnel.)
Answer: C) 64

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