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Every face of this cube is painted before it is cut along the lines. How many small cubes have an odd number of painted faces?

Competition practiceDice & Cubes
  • A24
  • B56
  • C32
  • D8

Step-by-Step Solution

An odd number means 1 or 3. One painted face: . Three painted faces: the 8 corners. Together . (24 counts only the one-face cubes.)
Answer: C) 32

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