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AMC8 2027 - Self-practice Set 7 Question 8

AMC8 · AMC8 2027 - Self-practice Set 7

Question 8

A $3\times3\times3$ cube is colored as shown, with opposite faces matching. What is the minimum number of unit cubes with at least one gray face?

Question illustration
  1. 10
  2. 16
  3. 20
  4. 22
  5. 24