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2020 AMC 8 Question 9

AMC8 · 2020 AMC 8

Question 9

Akash’s birthday cake is in the form of a $4 \times 4 \times 4$ inch cube. The cake has icing on the top and the four side faces, and no icing on the bottom. Suppose the cake is cut into $64$ smaller cubes, each measuring $1 \times 1 \times 1$ inch, as shown below. How many small pieces will have icing on exactly two sides?

Question illustration
  1. $12$
  2. $16$
  3. $18$
  4. $20$
  5. $24$