A close rectangular box where length is double its width has a total surface of 300 square inches. Find the maximum volume possible.

Q: A campground owner has 1800m of fencing. He wants to enclose a rectangular field bordering a river,…

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Q: An open rectangular box is 22feet long and has a surface area of 96 square feet. Find the dimensions…

A: Given, length of box is 22 feet and surface area are 96 square feet.

Q: A rectangular piece of cardboard is 16 inches by 10 inches. Squares are going to be cut out of the…

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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: An open rectangular box is 4 feet long and has a surface area of 4 square feet. Find the dimensions…

A: Length of open rectangular box is 4 feet. Surface area of open rectangular box is 4 square feet.…

Q: We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold…

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Q: Find the altitude of a rectangular closed box with volume 100 cubic inches with length twice the…

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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 farmer has enough money to build only 150 meters of fence. What are the dimensions of the field he…

A: We know that, The perimeter of a rectangle is 2l+b where l is the length and b is the breadth of the…

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: The top of a box is a rectangle with a perimeter of 72 inches. If the box is 8 inches high, what…

A: Given:The box (or cuboid) has the height 8 inches(i.e. h = 8 in.) and the perimeter of the top of…

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: Find the length and width of a rectangle that has perimeter 64 meters and a maximum area.

A: Given perimeter of rectangle is 64 meters. Let length of rectangle be x. Perimeter of…

Q: A rectangular piece of paper with a perimeter of 100 cm is to be rolled to form a cylindrical tube.…

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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: An open box is constructed by cutting square corners with side x cm from a 150-cm by 100-cm sheet of…

A: According to the problem, we have

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 rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

Q: An open-top crate is to be constructed with 54 ft2 of material available to use. The length of its…

A: Let width = x So, length = 2xLet height = hVolume of the crate = V = (x)(2x)(h)= 2hx^2

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: Glenview Community College wants to construct a rectangular parking lot on land bordered on one side…

A: Given : Let x be the width of the lot, and 380-2x be the length.  The area of the rectangular is…

Q: The height of a cylindrical tank is twice its diameter, Find the surface area of the tank if it can…

A: you written about find surface area of cylinder but upload imageof a prism,    So I will solve…

Q: A box with an open top is to be constructed from a square piece of cardboard that is 4 feet wide by…

A: Square piece of cardboard of 4 feet wide. Let x feet be cut off from each corner of the square piece…

Q: A farmer has 1800 m of fencing to make two equal rectangular pens that share a common side.…

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: Both these questions can be solved by applying the concept of maxima and minima.

Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,100 feet of fencing…

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Q: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: A window is in the shape of a rectangle surrounded by a semicircle. If the perimeter of the window…

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Q: Phil wants to design an open box with a square base with a surface area of 400 square inches. What…

A: We need to find dimensions of a box whose volume is maximum.  & volume = x^2 y

Q: The Perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is 25 square…

A: Let the length = x Width= y So, perimeter= 2(x+y)=20  x+y=10 y=10-x

Q: A rancher has 240 ft of fencing with which to build a rectangular corral alongside an existing…

A: We know, in rectangle, pair of opposite sides are equal.In rectangular corral, let length of equal…

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

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Q: The height of a cylindrical tank is twice its diameter. What is the surface area of the tank if it…

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Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

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

Q: A 10 m? plastic is to be used to form a hollow cylinder that has a circular base and| an open top.…

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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: The numerical is interpreted as shown in the drawing 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: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

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Q: A rectangular tile has a length of 4X cm and width (x+3) cm. The area of a reactangle is less than…

A: Area of rectangle

Q: Find the length and width of a rectangle that has 80 meters perimeter and a maximum area.

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Q: Brittany needs to construct a cylinder from a single sheet of metal with a perimeter of 2,148 mm.…

A: Given that a single sheet with perimeter 2148 mm.

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 rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals. What…

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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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Q: A rancher has 1500 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will…

A: Refer to the questionLet the common sides of two rectangular corrals be x then the sketch for the…