Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Suppose that we want to send a parcel in the shape of a square-based rectangular solid, and the Standard Post service limits the sum of the length and girth (girth = the perimeter of the base) to 106 inches. Find the dimensions of the package of the greatest volume under these conditions. Write the exact answer. Do not round

___inches by______inches by_____inches

Expert Solution
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Step 1

Given that the base is square shaped. Let x be the dimension of one side of the base.

Then, girth = perimeter of the base = 4x

Let l be the length. Sum of length and girth limits to 106 inches.

Since to find the maximum volume, take l+4x=106 gives l=106-4x.

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