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The top of this cube is painted red, and the front and right faces are painted blue; the other faces are unpainted. After cutting along the lines, how many small cubes carry both red and blue paint?

Competition practiceDice & Cubes
  • A10
  • B13
  • C9
  • D6

Step-by-Step Solution

Red and blue meet along the top-front edge (5 cubes) and the top-right edge (5 cubes). The corner cube where both edges meet is counted twice, so . The front-right edge is blue on blue only.
Answer: C) 9

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