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A sheet of paper 10''-by-16'' is made into an open box (i.e. there's no top),by cutting x-in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.Give your answer in the simplified radical form.

Note by Ahmed Elsawah
4 years ago

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3 votes

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MAKE A FIGURE. when x is cut in squares and the box is formed the height of box is x" bredth is 10-2x" and length is 16-2x" volume of box is LBH=x(10-2x)(16-2x) differentiate it and equate it to zero , so x=1/2"

Anirudha Nayak - 4 years ago

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Hint: what is the volume of the box, in terms of \(x\)?

Tim Vermeulen - 4 years ago

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not given

Ahmed Elsawah - 4 years ago

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