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Find the dimensions of a box with a square base that maximizes volume given a surface area of 600 sq. units. (2020)

Practice Questions

1 question
Q1
Find the dimensions of a box with a square base that maximizes volume given a surface area of 600 sq. units. (2020)
  1. 10, 10
  2. 15, 15
  3. 12, 12
  4. 20, 20

Questions & Step-by-step Solutions

1 item
Q
Q: Find the dimensions of a box with a square base that maximizes volume given a surface area of 600 sq. units. (2020)
Solution: Let x be the side of the base and h the height. The surface area constraint gives 2x^2 + 4xh = 600. Max volume occurs at x = 12.
Steps: 0

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