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A flat tile made of one layer of small cubes, 3 by 3, is painted on every face, top, bottom and edges. How many small cubes have exactly four painted faces?

Competition practiceDice & Cubes
  • A4
  • B8
  • C1
  • D0

Step-by-Step Solution

Every cube has its top and bottom painted. The 4 corner cubes also have two edge faces painted: four faces in all. The 4 middle-edge cubes have three, and the centre cube only two.
Answer: A) 4

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