Calculate the maximum volume of the open-topped box made by cutting out four equal size square corners from a cardboard sheet 5cm by 8cm.

Q: A packaging company is going to make open-topped boxes out of 20 cm by 20 cm rectangles of cardboard…

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Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: Since you have posted multiple questions, I will solve only the first one as per the policy of…

Q: Determine the Maximum area of a rectangle lot that can be created with a 1000m length of fencing…

A: Given: Length of fencing is 1000m We know that fencing means boundary Let x, y be the length and…

Q: Find the minimum cost of a rectangular box of volume 140 cm³ whose top and bottom cost 2 cents per…

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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: 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: The volume of an open-topped box with a square base is 245 cubic centimeters. Find the height, in…

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Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

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: The Philippine Postal Service will accept a box for domestic shipment only if the sum of its length…

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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: Find the area of the largest rectangular field that can be enclosed with 600 m of fencing. Assume…

A: Perimeter without one side length =600m

Q: Find the minimum cost of a rectangular box of volume 180 cm3 whose top and bottom cost 8 cents per…

A: Cost can be minimised by finding out the partial derivatives

Q: Find the maximum volume of a cylindrical soda can such that the sum of its height and its…

A: we have to find the maximum volume of a cylindrical soda can such that the sum of its height and its…

Q: What are the dimensions of a rectangular wall that can be constructed with 81 feet of brick that…

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Q: What is the volume of a cube if the number of cubic units in its volume is twice the number of…

A: Given: If the number of cubic units in its volume is twice the number of squares units in its total…

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: 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: A farmer wants to secure a certain part of his land. Calculate the maximum area of a rectangular lot…

A: Given: total length of fencing material of rectangular plot = 1000m

Q: Find the dimensions of the rectangular box with the largest volume if the total surface area given…

A: It is known that the surfaces area for the rectangular box with edges is x,y and z is 2xy+yz+zx and…

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 made from a 16 inch by 16 inch piece of cardboard by cutting equal squares from each…

A: This question is based on application of derivative.

Q: 2. Postal regulations require that the sum of the length and girth of a rectangular package may not…

A: Let, length of side of square is, x and length of box is y  Postal restrictions are such that…

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet,…

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Q: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…

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Q: A closed box with square base and vertical sides is to be made from 150 square feet of cardboard.…

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Q: A 63-inch by 168-inch pieceof cardboard is used to make an open-top container by removing a square…

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Q: Find the dimensions of the right circular cylinder of greatest volum that can be inscribed in a…

A: Given query is to find the dimensions of a right circular cylinder that can be fit inside a sphere…

Q: A farmer has 400 ft of fencing with which to enclose a rectangular field adjacent to anexisting…

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Q: from a piece of cardboard that is 24 cm by 48 cm ,cut equal squares out of the corners . fold up the…

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Q: A farmer wishes to enclose a rectangular region bordering a river, using 960 feet of fencing. What…

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Q: Find the total rebound distance of a ball that is dropped from a height of 7 m, with each rebounds…

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Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each…

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Q: 4.) Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder…

A: The given question can be solved as shown in step2

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

A: Length of the wire is 10 m. Let the length used for the square be x. Thus, the length used for…

Q: determine the dimensions of a rectangular tank open at top having the volume of 108 cm^3 and…

A: Finding the dimensions of the box using the given conditions

Q: Find the maximum volume of a rectangular box whose surface area is 1600 cm? and whose total edge…

A: By using lagrange multiplier

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: What the maximum area of a triangle which is inscribed in a circle of radius 4cm and one of its…

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Q: Find the maximum volume of a rectangular box with no top that has a surface area of 48 square…

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Q: Find the dimentions of a cylinder. See images

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Q: Find the minimum amount of thin sheet that can be made into a closed cylinder having a volume of 108…

A: Topic: calculus

Q: A Photo Paper with margins of 1.00 inch at the top and bottom and 1.50 inch at the sides is to…

A: Let x and y be the width and length of the page (measured in inches). Given that the area of print…

Q: Multivariable optimization question

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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…

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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: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

A: For the solution follow the next steps.

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

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