A rectangular tank with a square​ base, an open​ top, and a volume of 37,044 ft3 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.

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: Show that a rectangular box of given volume and minimum surface area is a cube.

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Q: Find the maximum and minimum volumes of a rectangular box whose surface area is 1300 cm2 and whose…

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Q: A rectangular tank with a square base, an open top, and a volume of 6912 ft° is to be constructed of…

A:

Q: A rectangular square-based open-top container is to be made so as the surface area equals 24 m2.…

A: let the dimensions of container according to question are :lengh=a,width=a, and height =hsurface…

Q: what are the dimensions of the right hexagonal prism of minimum surface whose volume is 36 cubic…

A: This is a problem of optimization.

Q: In constructing an open rectangular box from 867 ft of material, what dimensions will result in a…

A:

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a 30°-60°-90° triangle and…

A:

Q: composed

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Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

A:

Q: Determine the dimensions of a rectangular box with a volume of 1 ft ^ 3 that has a minimum surface…

A: Given a rectangular box with volume 1 ft^3

Q: The Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a…

A: Let dimension of tank be a*a*hBase area=a*a=a2height of tank=hgiven,   volume=32+t3   a2h=32…

Q: Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width,…

A: Modelling the problem: Let the three dimension be x, x and y .Since base is a square base.   also…

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: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

A: Given: Rectangular tank with square base (open at the top) Volume is 5324 cubic feet. To find: The…

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

A:

Q: Of all boxes with square base and a volume of 512 cm, which one has the minimum surface area? (Give…

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Q: Find the exact maximum and minimum volumes (in cm) of a rectangular box whose surface area is 1,300…

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Q: A closed rectangular box has volume 26cm^3. What are the lengths of the edges giving the minimum…

A: Given a rectangular box which has volume 26 cm^3.

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

A:

Q: Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width,…

A: Since the base is square, let the three-dimensional be x, x and y. Since they are lengths x,y,>0…

Q: Find the volume of the maximum volume square prism that can be placed inside a sphere with a radius…

A: Given The radius of sphere 3√2. We find the diameter of sphere

Q: What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14…

A:

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

A:

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: Find the rectangular box of maximum volume if the sum of the lengthsof the edges is 300 cm.

A:

Q: West Coast Customs is constructing a closed-top, square-based, rect- angular subwoofer box that will…

A: Here we use application of derivatives to find the minimum surface area and find it's dimensions.

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 cylinder with no top is to have a volume of 100π cubic centimeters. Find the minimum possible…

A: To find the minimum possible surface area of the given type of cylinder.

Q: A cylindrical can has a volume of 1024r cm. What dimensions yield the minimum surface area?

A:

Q: Find the maximum and minimum volumes of a rectangular box whose surface area is 1500 cm2 and whose…

A: Find the maximum and minimum volumes of a rectangular box whose surface area is 1500 cm2 and whose…

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

A: Follow the procedure given below.

Q: A piece of wire of length 1 meter is cut into two parts, one of which is bent into the shape of a…

A: A piece of wire of length 1 meter is cut into two parts , one of which is bent the shape of a circle…

Q: 1. Find the dimensions of a rectangular box with a square base and no top that has a volume of 100…

A: Solve By minimizing surface area

Q: A one-story building having a rectangular floor space of 13200 ft2 is to be constructed where a 22ft…

A:

Q: A rectangular tank with a square base, an open top, and a volume of 8788 ft 3 is to be constructed…

A: A rectangular tank has square base Let x be the base of the tank  and y be the height  x is the…

Q: if an open box has a square base and a volume of 256 in^3 and is constructed from a tin sheet.  Find…

A: Given

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

A:

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

A: Consider a box with square base and open Top and have a volume of 4000 cubic centimeters. Let the…

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: Find the dimensions of the rectangular box, open at the top, which has a minimum surface area if the…

A: Let us consider the width, length and height of the rectangular box are x, y and z respectively.…

Q: Find the dimensions that will give the minimum surface area for a crate that has a volume of 13.5…

A:

Q: Of all rectangles with area 64, which one has the minimum perimeter?

A: It is required to find the dimensions of rectangle having area 64 units which will have a minimum…

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

Q: A rectangular tank with a square base, an open top, and a volume of 16,384 ft° is to be constructed…

A: Given : Volume of rectangular is given 16384 ft3  Now we find surface Area and dimensions

Q: A rectangular tank that is 1372 ft° with a square base and open top is to be constructed of sheet…

A: The tank with minimum weight is the one with minimum surface area. Since the base is square, its…

Q: 4. West Coast Customs is constructing and open-top, square-based, rect- angular subwoofer box that…

A: West Coast Customs is constructing and open-top, square-based.rectangular subwoofer box that will…