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This painted cube is cut along the lines and one small cube is picked at random. What fraction of the small cubes have exactly one painted face?

Competition practiceDice & Cubes
  • A54/125
  • B27/125
  • C36/125
  • D8/125

Step-by-Step Solution

There are small cubes. Exactly one painted face: the inner squares of each face, . Fraction . (27/125 is the unpainted core; 36/125 the two-face cubes.)
Answer: A) 54/125

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