- #1
jonroberts74
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- 0
Homework Statement
show rectangular box of given volume has minimum surface area when the box is a cube
[gotta show it with partial derivatives to minimize]
Homework Equations
surface area = 2(wl+hl+hw)
volume = whl
The Attempt at a Solution
so this is the one I would be minimizing
surface area = 2(wl+hl+hw)
and the partials of it, that would be
[tex]2<L+H,W+H,L+W>[/tex]
then setting those to zero and solving for critical points.
seems flawed but maybe not.
seems that it comes out to them all being of the same value