(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find the largest volume of a rectangular box that satisfies the following condition

the sum of the height and horizontal perimeter does not exceed L

2. Relevant equations

critical point formula:

system of equations must satisfy the following at critical values of x & y

fx = 0

fy = 0

3. The attempt at a solution

height + (width * depth) = L

height*width*depth = V

I do know the answer to be L^3/108 cubic units, but as to how to get that is beyond me.

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# Homework Help: Maximum value problem

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