?A package to be mailed using the US postal service may not measure more than 108 inches

Chapter 4, Problem 23

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QUESTION:

A package to be mailed using the US postal service may not measure more than 108 inches in length plus girth. (Length is the longest dimension and girth is the largest distance around the package, perpendicular to the length.) Find the dimensions of the rectangular box with square base of greatest volume that may be mailed.

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QUESTION:

A package to be mailed using the US postal service may not measure more than 108 inches in length plus girth. (Length is the longest dimension and girth is the largest distance around the package, perpendicular to the length.) Find the dimensions of the rectangular box with square base of greatest volume that may be mailed.

ANSWER:

Step 1 of 7

Let the length of the girth be y and the length of the square base x. It has been stated that. A package to be mailed using the US postal service may not measure more than 108 inches in length plus girth. (Length is the longest dimension and girth is the largest distance around the package, perpendicular to the length.)

Therefore, we can write the combined package length and girth will be  

\(=y+4 x\)

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