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2005 AMC 10A Question 11

AMC10 · 2005 AMC 10A

Question 11

A wooden cube $n$ units on a side is painted red on all six faces and then cut into $n^3$ unit cubes. Exactly one-fourth of the total number of faces of the unit cubes are red. What is $n?$
  1. $3$
  2. $4$
  3. $5$
  4. $6$
  5. $7$