An open box is to be made from a square piece of material by cutting equal squares from each corner and turning up the sides. Find the dimensions of the box of maximum volume if the material has dimensions 6 in. by 6 in.

Q: An open box is to be made out of a 10-inch by 20-inch piece of cardboard by cutting out squares of…

A: Draw the diagram for the given problem for the given conditions and then find the volume

Q: An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is…

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Q: A production editor at Weston Publishers decided that the pages of a book should have a 1-in. margin…

A: Consider x as the length and y as the breadth of the rectangle.Then area is A = xy.Since x is length…

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40…

A: Given, Let's assume the side of the square base = a Height of the box  = h Volume = area of  base *…

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: if an open box is to be made using a square sheet of tin, 20 inches by 20 inches, by cutting a…

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Q: An open box is to be made from a 21 ft by 56 ft rectangular piece of sheet metal by cutting out…

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Q: A machinist in an engineering machine shop has ordered a sheet of plastic with dimensions of 5 m × 6…

A: Dimensions of plastic sheet = 5m×6m×50mm            Dimensions of door  = 3m×4m where Length of…

Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

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

Q: A shipping company handles rectangular boxes provided the sum of the length, width, and height of…

A: Let the dims be x, y and z then volume V=xyz           -----------(1) and the restriction we have…

Q: You are to construct an open rectangular box from 12 ft2 of material. What dimensions will result in…

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Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A: To find the dimensions that minimize area

Q: An open-top rectangular box is being constructed to hold a volume of 350 in. The base of the box is…

A: First derivative of a function when equated to 0 gives us the critical points of the function where…

Q: A rectangular sheet of metal having dimensions 20cm by 12cm has squares removed from each of the…

A: A rectangular sheet of metal having dimensions 20cm by 12cm has squares removed from each of the…

Q: 8. Find the dimensions of the rectangular box, open at the top, which has a maximum volume if…

A: Given surface area is 18 square feet.

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: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

A: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

Q: A box with a square base and open top must have a volume of4000 cm^3. Find the dimensions of the box…

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Q: we have 27ft squared of material to build a box of maximum volume with a square base and no top.…

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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…

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Q: A box with a square base and open top must have a volume of 512 cubic inches. Find the dimensions of…

A: The solution is given below:

Q: We have 48 m² of material to build a closed box whose base width is 2 times the base length. What is…

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Q: A rectangular box has a square base. If the sum of the height and the perimeter of the square base…

A: Explanation of the answer is as follows

Q: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If…

A: Given that, the sum of the external and internal radii is 14 cm and the width is 4 cm. The height of…

Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

Q: An open rectangular box has an area of 441 cm2. If its length must be 3 times its width, find its…

A:

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…

Q: A box with an open-top has a square base and four sides of equal height. The volume of the box is…

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Q: A box with an open top and square base is to be created with a surface area of 300 square inches.…

A: The box is open  And base is square  Let square sides l = b = x in And height  =h in

Q: An open-top rectangular box is being constructed to hold a volume of 350 in. The base of the box is…

A: Given :  an open top rectangular box is being constructed to hold a volume of 350 in3, the base of…

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: The front face of a tent is triangular and the height of the triangle is two-thirds of the base. The…

A: Let us assume that the base of the front face= x So the height = 2x3 Length = x+3  Given volume =…

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: if an open box has a square base and a volume of 256 in^3 and is constructed from a tin sheet.  Find…

A: Given

Q: A box with a square base and open top must have a volume of 32000 cm³. Find the dimensions of the…

A: To find the dimensions of the box that minimize the amount of material used to construct it.

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 rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm…

A:

Q: Find the dimensions of the rectangular box, open at the top, which has a minimum surface area if the…

A: Let us consider the width, length and height of the rectangular box are x, y and z respectively.…

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

A: The numerical is interpreted as shown in the drawing below;

Q: | We have 48 m? of material to build an open box with a square base. nine the dimensions of the box…

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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…

A:

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

A:

Q: A cardboard box without a lid must have a volume of 4m³. - Determine the dimensions that minimize…

A:

Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A: Given A rectangular building is to be built on a triangular corner lot with the perpendicular sides…

Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions 4 cm x…

A: The dimensions of the box is 4cm×4cm. Let each side of the square cut off from each corner be x cm.…

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

A: