Consider a closed rectangular box with a square base with side x and height y.Find an equation for the surface area of the rectangular box, S(x, y). | Numerade
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SOLVED:An open-top box with a square base is to be constructed from 120 square centimeters of material. What dimensions will produce a box (a) of volume 100 cubic centimeters? (b) with largest possible volume?
SOLVED:An open-top box with a square base is to be constructed f…
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An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. (b) What is the volume if a 3 -inch square is cut out? (c) What is the volume if a 10 -inch square is cut out? (d) Graph V=V(x). For what value of x is V largest? | Numerade
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Answered: You construct an open box with a square base from 108 square inches of material. The height of the box is 3 inches. What are the dimensions of the box? | bartleby
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Figure 12(b) shows an open rectangular box with a square base. Consider the problem of finding the values of x and h for which the volume is 32 cubic feet and the total surface area of the box is minimal. (The surface area is the sum of the areas of the five faces of the box.) (a) Determine the objective and constraint equations. (b) Express the quantity to be minimized as a function of x. (c) Find the optimal values of x and h. | Numerade
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