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In this solid cube of 27 small cubes, how many small cubes share a face with exactly four others?

Competition practiceDice & Cubes
  • A8
  • B12
  • C6
  • D1

Step-by-Step Solution

A corner cube touches 3 others, an edge cube (middle of an edge) touches 4, a face-centre cube 5 and the centre cube 6. There are 12 edges with one middle cube each: 12. (8 counts the corners.)
Answer: B) 12

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