Derivatives and Maximum Volume
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The U. S. Postal Service will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 108 in. What dimension will give a box with a square end the largest possible volume? Show your work.
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Solution Summary
A box's dimensions are found that maximize volume.
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l =length
a = side of the square
girth = 4*a
l+4a = 108
l = 108 - 4*a
Volume V = a^2*l
substitute for l in termas of ...
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