An open box has a surface area of 20 where the box has a square base. What function should be used to maximize the volume of the open box?

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Q: An open box with a square base is to have a volume of 12ft^3. find the box dimensions that minimize…

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Q: What function should be used to maximize the volume of an open box whose surface area is equal to 20…

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Q: a. A rectangular pen is built with one side against a barn. If 2500 m of fencing are used for the…

A: Note: According to Bartleby guidelines; For more than one question asked only the first one is to be…

Q: A cardboard box with an open top and a square bottom is to have a volume of 30 ft3. Use a table…

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Q: A box with a square base has a volume of 3375 ft3 . Find the dimensions of the box that minimize the…

A: It's given that the box has a square base. However, nothing is said about the the height.  Let the…

Q: rectangular pen is built with one side against a barn. If 300 m of fencing are used for the other…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the…

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Q: Determine the dimensions of a box with a square base and no lid for which we have 10 m2 of material…

A: Explanation and solutions is given below.....

Q: An open-top box is to be made from a 36 in. by 27 in. piece of cardboard by removing a square from…

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Q: An open box is to be made of a piece of cardboard 10cm x 16cm by cutting equal squares out of the…

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Q: Three hundred square inches of material are available to construct an open rectangular box with a…

A: Given: Three hundred square inches of material are available to construct an open rectangular box…

Q: A rectangle is bounded by the x-axis and the semi-circle y = √(36 − x^2). What length and width…

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Q: Two chicken coops are to be built adjacent to one another using 120 ft of fencing. a. What…

A: Total fence needed is: (x+x+x)+y+y+y+y=3x+4y So, 3x+4y=120

Q: с. How should the fencing be used to get the maximum possible area? How much area will the chickens…

A: Given that Total length of fencing wire is 100 ft to build the chicken coop. Since  marissa has to…

Q: An open box is to be made from a 3-ft by an 8-ft rectangular piece of sheet metal by cutting out…

A: An open box is to be made from a 3-ft by an 8-ft rectangular piece of sheet metal by cutting out…

Q: Find the dimensions of the closed rectangular box of largest volume with surface area of 16 m². What…

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Q: A covered box is to be made from a rectangular sheet of cardboard measuring 10 inches by 16 inches.…

A: Volume of the box=x.y.z —1                                   height*lenth*width    2x+z=10  —2…

Q: A courtyard at the corner Of two buildings is to be enclosed using z = 86ft of redwood fencing. Find…

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Q: The diagram shows a square prism with cross-section x units by x units, and length (9- 2x) units.…

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Q: An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting…

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Q: A rancher has 960 feet of fencing to construct six​ corrals, as shown in the figure. Find the…

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Q: An open top box is to be formed by cutting squares of equal sides from 15m by 15m square peice of…

A: Let the length of small square = x Hence, length of the big square = 15 - x - x = 15 - 2x Therefore,…

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Q: A rectangular property has three sides fenced in against an existing river by 1,200 feet of wooden…

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Q: An open-top box is to be made from a 40 in. by 27 in. piece of cardboard by removing a square from…

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Q: A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One boundary of…

A: Given: A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One…

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to…

A: Suppose A be the area of the rectangular rain gutter  A=length × width=20-2x x…

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Q: A piece of cardboard measuring 8 inches by 11 inches is formed into an op squares with side length a…

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Q: An open box is to be constructed from a 12x12-inch piece of cardboard by cutting away squares of…

A: Let the cut away squares side is of x in. So, the dimension of the open box with height x, length…

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Given: The total perimeter is 16 feet. The given window is formed by adjoining semicircle to the top…

Q: A farmer with 120 meters of fencing needs to enclose a rectangle area into three equal pens with…

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Q: Define the livable space of a building to be the volume of space in the building where a person 6…

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Q: With only 600 m2 of materials, a closed cylindrical tank is to be made. What should be the height of…

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Q: A farmer wants to rope off an area for a new garden using 3300 yards of rope. What dimensions of a…

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Q: A rectangular box without a lid is to be made from 12 m2 of cardboard. Find the maximum volume of…

A: Given that a rectangular box without a lid is to be made from 12 m² of cardboard.

Q: An Architect Plans To Build A Triangular Enclosure With A Fence On Two Sides And A Wall On The Third…

A: The given triangle is sketched below.

Q: A open-top box is to be made from a 24 in by 36 in piece of cardboard by removing a square from each…

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Q: An architect plans to build a triangular enclosure with a fence on two sides and a wall on the third…

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Q: What function should be used to maximize the volume of a closed box whose surface area is equal to…

A: From the given figure, the volume of box is V=x2 h. Given that the surface area of the box is 16.…