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

Find the dimensions of the rectangular box of largest volume that can be inscribed in a sphere of radius 1.

2. Relevant equations

v=w*l*h, Set the partials equal to 0, then solve a system, etc.

3. The attempt at a solution

I'm really just unsure of the constraints that might arise when inscribing a box in a sphere, I'm fairly confident about the rest of the process.

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# Maximize Volume of a Rectangular Box

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