What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on a side, by cutting equal squares from its corners and turning up the sides? *

Q: From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides can be…

A: Given: From a thin piece of cardboard 40 in. by 40 in.

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

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Q: An open box is to be made from a 16 inches long and 10 inches wide rectangular pieceof metal by…

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Q: An open box will be made by cutting asquare from each corner of a 3-ft by 8-ft piece of cardboard…

A: Consider the "x" represent the side length of the cut-out square.  The length is 8 ft and the…

Q: A sheet of cardboard 16 in. square is used to make an open box by cutting squares of equal size from…

A: Given, a sheet of cardboard 16 in. square is used to make an open box by          cutting squares of…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: A box is to be made of a piece of cardboard 9 in. square by cutting equal squares out of the cormers…

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Q: 1). What positive number exceeds its cube by the maximum amount?

A: You have to find maximum  difference between cube of  positive number and the number

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

A: A piece of plastic is 15 cm by 40 cm. Let the square piece be cut of side ‘a’ at each corner of the…

Q: An open-top bin is to be made from a 32-inch by 42-inch piece of plastic by removing a square from…

A: We have given a rectangular piece,

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Let h is the dimension  of the square which are being cut at each corner of the cardboard, so The…

Q: A fence is built to make a rectangular enclosure against a river, with the river forms one side of…

A: length=y width=x area A=200

Q: A rectangle sheet of cardboard measures 16 cm by 6 cm . equal squares are cut out of each corner and…

A: We need to find maximum volume.

Q: A poster of area 24000 cm? has blank margins of 10 cm wide on the top and bottom and 6 cm wide on…

A: Let width of poster = x cm  let height of poster = y= cm

Q: A rectangular box having a square base and open at the top is to have a capacity of 16823 cc. Find…

A: Given; A rectangular box having a square base and open at the top is to have a capacity of 16823 cc.…

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-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…

Q: From a thin piece of cardboard (10 inch by 10 inch ) square corners are cut out so that the sides…

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Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: Area of a rectangle with length x and breadth y is given by x.y. Perimeter of a rectangle with…

Q: An open-top box is to be made from a 12-inch by 30-inch piece of plastic by removing a square from…

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

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: An open box is to be made by cutting a square from each corner of a 12-in. by 12-in. pieceof metal…

A: Volume: Let the side length of the square be x cm that is cut from each corner of a 12 in by 12 in…

Q: An open box will be made by cutting a square from each corner of a 10-cm by 16-cm piece of cardboard…

A: To find: The size of square to be cut from the corner of cardboard to maximize volume and also find…

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

A:

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: #8 A IS in by 24 in piece of sheet me be formed into an open - top box by cutting out a szuare from…

A: In this we have to cut from 4 corners so for better understanding I'm providing hand written…

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A: The rectangle which can be inscribed in a right triangle with base 8 cm and height 6  cm.

Q: What is the maximum total area of such a corral?

A: Let the length of rectangular corral = LBreadth of rectangular corral = BPerimeter of rectangular…

Q: 4. A rectangular box is to be made from a piece of cardboard 15cm by 24 cm by cutting equal squares…

A: A rectangular box is to be made from a piece of cardboard 15 cm by 24 cm by cutting equal squares…

Q: From a 50-cm-by-50-cm sheet of aluminum, square corners are cut out so that the sides can be folded…

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Q: A pizza box is formed from a 20-cm by 40-cm rectangular piece of cardboard by cutting out six…

A: Derivative of a function is described as the change in variable with respect to another variable.…

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,…

Q: Calculate the maximum volume of the open-topped box made by cutting out four equal size square…

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

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Q: 2. An open box is to be made from a square piece of material, 24 inches on a side, by cutting equal…

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: topic - application of derivatives

Q: A farmer has 400 feet of fencing to enclose 3 adjacent rectangular pig pens. What dimensions should…

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Q: A 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

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

Q: A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a…

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

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Find the dimensions of the rectangular box of maximum volume formed by a given rectangular sheet.

Q: A manufacturer wants to design an open box having a square base and a surface area of 108 square…

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

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

Q: A poster of area 2160 cm? has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A:

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: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: To find the maximum possible volume of the box in cubic inches

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: A piece of wire 10 meter long is cut into two pieces. One piece is bent into a square and the other…

A: Solution: Let x be the length of wire which bent into a square. Each side of the square has length=…

Q: What are the dimensions of the base of the rectangular box of greatest volume that can be…

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