How to maximise volume of cuboid if sum of sides and area of each face known?
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What would be maximum volume of a rectangular box with a given perimeter PP and surface area SS?
I tried to solve following equations, where ll is length, bb is base, hh is height, PP is the perimeter, VV is volume, and SS is the surface area.
2(l+b+h)=P
2(l+b+h)=P
2(lb+bh+hl)=S
2(lb+bh+hl)=S
Need to maximize
V=lbh
IT WILL HELP YOU IN YOUR QUESTION....
I tried to solve following equations, where ll is length, bb is base, hh is height, PP is the perimeter, VV is volume, and SS is the surface area.
2(l+b+h)=P
2(l+b+h)=P
2(lb+bh+hl)=S
2(lb+bh+hl)=S
Need to maximize
V=lbh
IT WILL HELP YOU IN YOUR QUESTION....
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