An open-top bin is to be made from a 32-inch by 42-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What size square should be cut out of each corner to get a bin with the maximum volume? Enter the area of the square and do not include any units in your answer.

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A: Diagram of the mentioned box will  be as following

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Q: A rectangular page is designed to contain 121 square inches of print. The margins at the top and…

A:

Q: An open-top bin is to be made from a 15-centimeter by 40-centimeter piece of plastic by removing a…

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A: We need to find maximum volume.

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A: We can find the maximum volume of the box as below

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Q: An open-top bin is to be made from a 15-centimeter by a 40-centimeter piece of plastic by removing a…

A: Assume that side of square which should be cut from each corner is a.Given the dimension of piece of…

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A: Given: A candy box is made from a piece of cardboard that measures  45 by 24 inches. Squares of…

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A: This is  a problem related to maxima and minima. Based on the genera formula and concept we will…

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A: Let assume that side of square which should be cut out from each corner = xSo dimensions of open top…

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A: Sketch the adjacent rectangular playpen areas for dogs as shown below.

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A: Volume of the box

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A: According to the problem, we have

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Q: A 39-inch by 104-inch piece of cardboard is used to make an open-top conatiner by removing a square…

A: Volume: A 39-inch by 104-inch piece of cardboard is used to make an open-top conatiner by removing a…

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Q: A rectangular box is to have a base whose width is twice the length and is to have no top. If the…

A: Given, A rectangular box is to have a base whose width is twice the length and is to have no top.…

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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: An open box is to be made from a 33 ft by 88 ft rectangular piece of sheet metal by cutting out…

A: You have asked multiple questions, so we will solve the first question for you. The rest can be…

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A: Given:size of cardboard= 22in by 70 in

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A: Let x be side of the square which is cut in each corner then find volume of box.  Then solve for x.

Q: An open-top box is to be made from a 12-inch by 18-inch piece of plastic by removing a square from…

A: We can find the value of x by using the second derivative test.

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A: The 24-cm by 119-cm piece of cardboard used to make an open top box by removing from each corner of…

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A: We have to find the maximum area of given rectangle.

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Q: find the maximum volume of a rectangular box that a post office will accept for delivery of the sum…

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Q: An open topped box is to be made from a rectangular piece of metal 18cm x 48 cm by cutting off…

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