The postal service will accept a box for shipment only if the sum of its length and girth (the distance around) does not exceed 108 inches. What dimensions will give a box with a square end the largest possible volume?
Volume Optimization
2
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calculus
optimization
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2This is a pretty straightforward problem; have you at least made some progress towards setting it up? – 2012-12-09
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0Could you also include a picture, labelled with appropriate variables? Doing so would show that you've put at least some effort into solving the problem... – 2012-12-09
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0I know that you're trying to maximize volume which equals L*W*H. Since it's a square you know that W and H are equal. Since Girth plus length equals 108, that means that L+2W+2H=108. You could then solve for L which would equal 108/4w, since w=h. – 2012-12-09
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0What you say will get you well down the path to solution. – 2012-12-09