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All the outer faces of this cube are painted red before it is cut into the small cubes shown by the lines. How many small cubes have just one red face?

Competition practiceDice & Cubes
  • A9
  • B6
  • C1
  • D12

Step-by-Step Solution

A cube with one painted face sits in the middle of an outer face, away from every edge. Each of the 6 faces has exactly one such middle square, so 6 small cubes. (9 counts all the squares of one face.)
Answer: B) 6

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