A rectangular box having a square base and open at the top is to have a capacity of 16823 cc. Find the height of the box to use the least amount of material.

Q: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: Let heigh of box=h  and base sides of box=a  The surface area of open box is   S=the sum of the…

Q: If 2400 square centimeters of material is available to make a box with a square base and an open…

A: Given information: 2400 square centimeters of material is available to make a box Consider x is the…

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

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

Q: dimensions

A: Please refer to the image below

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

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1…

A: Given,            We know that the height of the box=1ft            The dimensions of the square…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: GIVEN - 1700 square centimeters of material is available to make a box with square base and an open…

Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

A: To determine the dimension of the box which minimize the amount of material used.

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square box be x cm and the height of the box be y cm.

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

Q: An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal…

A: Let l is length of the box, w is a width of the box and h is the height of the box.…

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A: Assume a be the side length of the square base,h be the height of the carton and V be the volume of…

Q: If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is…

A: Given, Length of pool l= 15 feet Width of pool w= 8 feet Number of people in the pool = 20

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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: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Surface of a box which is open from the top.It is the the sum of the a2 and 4 rectangles . Let base…

Q: From a piece of cardboard 24cm x 15cm, a box is to be made by cutting equal squares out of its…

A: Here I am attaching image so that you understand each and every step.

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: If 1800 square centimeters of material is available to make a box with a square base and an open…

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: If 2100 square centimeters of material is available to make a box with a square base and an open…

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

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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: If 2300 square centimeters of material is available to make a box with a square base and an open…

A: Finding the maximum volume by differentiating the volume function

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Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

A: I am attaching image so that you understand each and every step.

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Q: If 4,800 cm of material is available to make a box with a square base and an open top, find the…

A: Given 4800 cm^2 of material is available to make a box with a square base and an open top

Q: A rectangular box with a square base and open at the top is to have a capacity of 16,823 m3 . Find…

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Q: If 10,800 cm2 of material is available to make a box with a square base and an open-top, find the…

A: Answer is mentioned below

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Q: Engr. Lagrazon wants to build a farm using a fence but already have an existing wall. He has 60m of…

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Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

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Q: A rectangular piece of fabric has a square cut out of one corner. The longer edge of the piece of…

A: Given, A rectangular piece of fabric has a square cut out of one corner. The longer edge of the…

Q: Find the dimensions of a rectangle with area 1,000 m² whose perimeter is as small as possible. (If…

A: According to question,

Q: If 2200 square centimeters of material is available to make a box with a square base and an open…

A: