SOLUTION: Find the minimum dimensions of an open-top rectangular box that is twice as long as it is wide and can hold 12 cubic yards of material.
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Question 829230: Find the minimum dimensions of an open-top rectangular box that is twice as long as it is wide and can hold 12 cubic yards of material.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
x=length
y=width
z=height
; base area is ;
volume,
or
This still has two variables. Both unknown but one of them depends on the other. This has no minimum set of dimensions. Choose any positive z and it determines the needed positive y; or choose any positive y and this determines z.
Even if you try finding derivative and looking for some extreme point, none is!
z as a function of y:
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