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A cube is painted on all faces and cut up. The centre cube and the six cubes from the centres of the faces are thrown away. How many painted small faces are there on the cubes that are left?

Competition practiceDice & Cubes
  • A54
  • B48
  • C42
  • D24

Step-by-Step Solution

The 20 cubes left are the 8 corners, with 3 painted faces each (24), and the 12 edge cubes, with 2 each (24). Total . (54 is every painted square, before the six face-centre cubes were removed.)
Answer: B) 48

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