Cougar Packaging has contracted you to design an open box with a square base that has a
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Cougar Packaging has contracted you to design an open box with a square base that has a volume of 5000 cubic inches. See the illustration.
(a) Express the surface area S of the box as a function of x.
(b) Using a graphing utility, graph the function found in part (a).
(c) What is the minimum amount of cardboard that can be used to construct the box?
(d) What are the dimensions of the box that minimize the surface area?
(e) Why might Cougar Packaging be interested in designing a box that minimizes the surface area?
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a To design an open box with a square base lets denote the side length of the square base as x and the height of the box as h We know that the volume ...View the full answer
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