Find the dimensions of the rectangular box with largest volume such that the sum of the lengths of its twelve edges is 24. You may do this using either of the optimization techniques we learned in class, but you must justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the dimensions of the rectangular box with largest
volume such that the sum of the lengths of its twelve edges is 24. You may
do this using either of the optimization techniques we learned in class, but
you must justify your answer.
Transcribed Image Text:Find the dimensions of the rectangular box with largest volume such that the sum of the lengths of its twelve edges is 24. You may do this using either of the optimization techniques we learned in class, but you must justify your answer.
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