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9:50
Optimization: box volume (Part 1)
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SOLVED:Volume of a Box A rectangular piece of cardboard measuring 12 inches by 18 inches is to be made into a box with an open top by cutting equal-sized squares from each corner and folding up the sides. Let x represent the length of a side of each such square in inches. (Square can't copy) (a) Give the restrictions on x . (b) Determine a function V that gives the volume of the box as a function of x . (c) For what value of x will the volume be a maximum? What is this maximum volume? (d) For wh
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A cardboard box without a lid is to have a volume of 32,000 cm^3 . Find the dimensions that minimize the amount of cardboard used. | Numerade
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An open box is made from a square of cardboard of 30 cms side, by cutting squares of length x centimeters from each corner and folding the sides up. Express the volume of the box as a function of x. - Mathematics and Statistics | Shaalaa.com
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Answered: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by cutting a 2-centimeter square from each corner and turning… | bartleby
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SOLVED:Solve each problem. A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 2 -inch squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard. (a) Represent the length of the original piece of cardboard in terms of x (b) What will be the dimensions of the bottom rectangular base of the box? Give the restrictions on x . (c) Determine a function V that represents the volume of the box
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