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2021 AMC 10C Question 3

AMC10 · 2021 AMC 10C

Question 3

What is the maximum number of balls of clay with radius $2$ that can completely fit inside a cube of side length $6$ assuming that the balls can be reshaped but not compressed before they are packed in the cube?
  1. $3$
  2. $4$
  3. $5$
  4. $6$
  5. $7$