Deteremind the dimensions of the can that will minimize the amount of material used in its construction.

Q: Suppose we have 45 m^2 of material to build a box with a square bottom and no top. What dimensions…

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Q: A box with a square base and open top must have a volume of 62,500 cm. Find the dimensions of the…

A: Topic- Application of Derivative

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

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Q: A cylindrical container that is open at the top is to be made from two kinds of material. The…

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Q: A box with a square base and an open top must have a volume of 96 cubic inches. If the bottom is…

A: Given that the box has a square base and is open at the top. Since the base of the box is a square,…

Q: A storage box with a square base must have a volume of 80 cubic centimeters. The topand bottom cost…

A: To find the dimension of the storage box that will minimize the cost.

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A:

Q: A rancher wants to fence off a rectangular corral with an area of 4050 sq. yds next to a river. Find…

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Q: A cylindrical drum is to be manufactured from a synthetic material and is to hold 547 m³ of liquid.…

A: The solution is given below in the next step:

Q: A closed rectangular box with a square base and a volume of 12 cubic feet is to be constructed from…

A: Volume=12 cubic feet Top is made of a metal costing $2/ft2 Remainder of wood costing $1/ft2

Q: Find the dimensions of a cylinder of volume 5 m3 of minimal cost if the top and bottom are made of…

A: In order to solve this problem, first we need to find the expression that represents the total cost.…

Q: A company plans to manufacture closed rectangular boxes that have volume 24 cubic feet. The cost per…

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Q: Find the dimensions of a cylinder of volume 1 m3 of minimal costif the top and bottom are made of…

A: The formula to find the volume of the cylinder is given below: V=πr2h where V represents volume, r…

Q: An ice cream company is designing fancy glass containers for their ice cream. The containers will be…

A: Please see the explanation below

Q: A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material…

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Q: A rectangular box without a lid must be made at a cost of $15 for stuff. If the material for the…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: A jewelry box with a square base is to be built with copper platedsides, nickel plated bottom and…

A: Given that Volume of the  box is 40 cm3 Base of the box is square. Let  length =width=x Height=y…

Q: A drink can, in the form of a cylinder, needs to have a volume of 750 cm³. The material for the top…

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Q: A box with a square base and a closed top has a volume of 20 cubic ft. the cost of material for the…

A: Given:     Volume of square base = 20 cubic feet.…

Q: A closed rectangular box with a volume of 16 ft3 is made from two kinds of materials. The top and…

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Q: A box with a volume of 530 cm3530 cm3 is to be constructed. The sides of the box cost 3 cents per…

A: Given, Volume of the box = 530 cm3 Sides of the box cost = 3 cents/cm2 Top and bottom cost = 6…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350…

A: Given Data: The volume of the cylinder is: V=350 cm3 The cost of sides and bottom of the container…

Q: A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the…

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Q: A trash company is designing an open-top, rectangular container that will have a volume of 1715 ft°.…

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500…

A: The volume of cylinder has to be 500 cubic cm Side and bottom material cost is 0.03 cents per square…

Q: a cylindrical container that has a capacity of 4000 cubic centimeters is to be produced. The top and…

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Q: A rectangular box is to have a square base and a volume of 24ft^3. If the material for the base…

A: Let x denotes the side of the base and y denotes the height of the rectangular box.

Q: A box with a square base with side length b and height h and with an open top must have a volume of…

A: Question is solved.

Q: A box with a square base and open top must have a volume of 4000 cm. Find the dimensions of the box…

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Q: A rectangular box is to have a square base and a volume of 40 ft³. If the material for the base…

A: The base of the box is square-shaped. Thus the top part will also be square. Let 'x' be the length…

Q: Coca-Cola wants to minimize the production costs of its cans. Assuming the cans are the shape of a…

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Q: A rectangular building is being designed to minimize heat loss. The east and west walls lose heat at…

A: Answer is mentioned below

Q: Manufacturer X is planning to produce a closed balikbayan box as they anticipate the surge of…

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Q: What should the dimensions of the box be in order to minimize the surface area?

A: Let,Breadth of the box = b = xLength of the box = l = 2b = 2x        (according to question)Height…

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

A: Assume that the length of the base of the square be x and height be y. Since the volume of the box…

Q: A cylinder-Its sides are made of cardboard, its bottom is made of thick plastic-coated aluminum…

A: Let r , in centimeter be the radius of base of cylinder and h, in centimeter be height of cylinder.…

Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine the…

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Q: A box with a square base and open top must have a volume of 42592 cm. We wish to find the dimensions…

A: Let the height of the box is h and the base of the box is square of length x. so the volume of the…

Q: Find the dimensions of a cylinder of volume 3 m³ of minimal cost if the top and bottom are made of…

A:

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: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: Topic = Volume

Q: A closed rectangular box with a square base is to be constructed using two different types of wood.…

A: Let x be the length and width, and y be the height of the rectangle box.Therefore, Surface area of…

Q: A square-based, box-shaped shipping crate is designed to have a volume of 36 cubic feet. The…

A: Volume=x2y=36 ............equation(1) Cost=2x22k+4xyk Cost=4kx2+xy........equation(2) Form equation…

Q: A rectangular garden of area 480 square feet is to be surrounded on three sides by a brick wall…

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Q: A cylindrical can is to be made to hold 1000cm^3 of oil. How do you find the dimensions that will…

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Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A: Given query is the length of x and y.

Q: A closed box with a square base is to have a volume of 2000 cm3. The material for the top and bottom…

A: To find extremas of function, first, we need to calculate critical points. Those points at which the…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200…

A:

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: To find the dimensions