The United States Post Office will not accept a box whose girth (distance around) plus length is more than 108 inches. Suppose that we want to build a container with a square base whose volume is as large as possible and whose girth plus length is precisely the maximum 108 inches. Model this situation by letting x be the length of the side of the square base, and expressing the volume in terms of x. Then use your calculator to estimate the dimensions of the box.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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16* The United States Post Office will not accept a box whose girth (distance around) plus length is
more than 108 inches. Suppose that we want to build a container with a square base whose
volume is as large as possible and whose girth plus length is precisely the maximum 108
inches. Model this situation by letting x be the length of the side of the square base, and
expressing the volume in terms of x. Then use your calculator to estimate the dimensions of
the box.
Transcribed Image Text:16* The United States Post Office will not accept a box whose girth (distance around) plus length is more than 108 inches. Suppose that we want to build a container with a square base whose volume is as large as possible and whose girth plus length is precisely the maximum 108 inches. Model this situation by letting x be the length of the side of the square base, and expressing the volume in terms of x. Then use your calculator to estimate the dimensions of the box.
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