Solution: What is the volume of the largest box that can be constructed?

A box is to be constructed from a piece of zinc 20 sq. in by cutting equal squares from each corner and turning up the zinc to form the side. What is the volume of the largest box that can be constructed?

What is the volume of the largest box that can be constructed?

Problem Statement: ME Board April 1998

A box is to be constructed from a piece of zinc 20 sq. in by cutting equal squares from each corner and turning up the zinc to form the side. What is the volume of the largest box that can be constructed?
  • A. 599.95 cu in.
  • B. 592.59 cu in.
  • C. 579.50 cu in.
  • D. 622.49 cu in.

Problem Answer:

The volume of the largest box that can be constructed is 592.59 cu in.

Solution:

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