A soft-drink company needs to design a cylindrical can that can hold 475 ml of fluid. What are the dimensions of the can that would require the least amount of material?

Q: A farmer wishes to create rectangular a pen with two dividers in the middle, so that the pen looks…

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Q: An open rectangular box with square ends to hold 6400 cu ft, is to be built at a cost of $75 per sq…

A: Given that, An open rectangular box with square ends to hold 6400 cu ft. Thus, V= x2 y. 6400 = x2y…

Q: A fence is to be built to enclose a rectangular area of 200 square feet. The fence along three sides…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

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

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Q: A fence is to be built to enclose a rectangular area of 220 square feet. The fence along three sides…

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Q: A new paper-thin battery is being designed. It will be shaped like a rectangle. To have enough…

A: Given that A paper thin battery is being designed.that shape is ractanguler. Area of battery is 60…

Q: Two similar cones have volumes of 343n cubic centimeters and 512n cubic centimeters. The height of…

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Q: For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 50 square…

A: Solve for the dimension of the vegetable patch with the least expensive fence

Q: A fence is to be built to enclose a rectangular area of 210 square feet. The fence along three sides…

A: Let us consider the fence of rectangular area of 210 square feet. Let us consider the length of…

Q: The width of a rectangular cardboard is 10 inches longer than its width. Squares of 2 inches on a…

A: Let the width of the rectangular cardboard be ‘a’.According to the question, the length is 10 inches…

Q: A semi-elliptical goblet has a depth of 4 inches and its round opening has a width of 3 inches. It…

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Q: A fence is to be built to enclose a rectangular area of 250 square feet. The fence along three sides…

A: let the lengh of a rectangle is l and width is bthen area of rectangle=lbaccording to…

Q: what are the dimensions of 2 solids with equal surface area and different volumes?

A: Dimension of any solid is 3 irrespective of surface area and volume.

Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A: step1            Given Rectangle of Area =280 sq feat.Let 'x' - Length , 'y' - Breadth

Q: A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides…

A: Given  that ractanguler area is 260 square feet.and the fence along three side is to be made of…

Q: Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: You want to install a 13.5 feet deep in-ground pool in your backyard but you are concerned about the…

A: The pool must be 13.5 deep. We can install a circular poor with a diameter of 10 feet i.e. radius of…

Q: Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: You need to design a rectangular garden that covers 216 square feet. The garden must be divided into…

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Q: Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

A: Given query is to find the dimensions of the aquarium for least amount of surface area.

Q: . A truck rental company rents a 12-ft by 8-ft by 6-ft truck for $69.95 per day plus mileage. A…

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Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

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Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: Construct a window whose middle is a rectangle and the top and bottom of the window are…

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Q: A rectangular field is four times as long as it is wide. If the perimeter of the field is 500 yards,…

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Q: A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides…

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Q: A farmer has 2400 ft. of fencing and wants to fence off a rectangular field that borders a straight…

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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…

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Q: An airline policy states that all baggage must be box-shaped with a sum of the length, width, and…

A: Given data is: The sum of the length, width, and height not exceeding 120 inches. To find the…

Q: Barbara "Barb" Wire needs to fence off a rectangular enclosure of 7200 feet for her horses. Two…

A: Let the length of the standard wire fencing sides= x feet each. And the length of the heavy-duty…

Q: In your backyard, you have a deck constructed in the shape of a rectangle with the dimensions 54 ft…

A: Given data: The given dimension of the rectangle is LxB=54 ft x 32 ft. The given dimension of the…

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

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Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

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Q: A 10-ft wire is to be formed into an equilateral triangle and a square. What is the measure of the…

A: Given;+ A 10-ft wire is to be formed into an equilateral triangle and a square. To find What is the…

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: The post office will not ship a cylindrical container if the sum of circumference of the base plus…

A: If we have a function f(x), the points at which the function takes a maximum or a minimum is given…

Q: A rectangular field is three times as long as it is wide. If the perimeter of the field is 400…

A: Suppose that the width of a rectangular field is x then the length of the rectangular field is 3x.

Q: A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The…

A: Top measure of the container is x by 3x.  Let h be the height of the container. So, the volume of…

Q: A fence must be built to enclose a rectangular area of 45,000 square feet. Fencing material costs $4…

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Q: Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length is…

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Q: Paulo wants to build two boxes that each have a volume of 64 cubic inches. Give two possible…

A: Given: Volume of two boxes is 64 cubic inches each. To find: Two possible dimensions of box than can…

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: a landscape architect is designing a rectangular flowerbed to be border with 28 plants that are…

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Q: A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The…

A: We need to find height.

Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: Solution:Given Perimeter of the entire window=20 feetTo find the dimensions of the window Formula:If…

Q: A fence must be built to enclose a rectangular area of 20000 square feet. Fencing material costs…

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Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide…

A: Solution is written in below steps.

Q: What is the length and width of a rectangle that has an area of 64 square ft and a minimum…

A: let length = x width = y   Area = 64 square ftxy=64y=64x