Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters.

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Q: Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show…

A: Given:Perimeter of a rectangle is 68 m.

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

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

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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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: Find the dimensions of a cylindrical can with a bottom but no top of volume 4 m3 that uses the least…

A: To Find: Dimension of a cylindrical can with a bottom but no top of volume 4 m3that uses the least…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Let h is the dimension  of the square which are being cut at each corner of the cardboard, so The…

Q: A rectangular sheet of metal having dimensions 20cm by 12cm has squares removed from each of the…

A: A rectangular sheet of metal having dimensions 20cm by 12cm has squares removed from each of the…

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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: Show that the rectangular parallelepiped with fixed surface area and maximum volume is a cube.

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Q: A rectangular solid (with a square base) has a surface area of 337.5 square centimeters. Find the…

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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: In constructing an open rectangular box from 300 ft² of material, what dimensions will result in a…

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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: A box with no top and a square base has to be designed so that its volume must 108 cm³. Find the…

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Q: A closed cylindrical tank is to be made from a material 230.91m2 in area. If the volume of the…

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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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: Find the dimensions of a right circular cylinder of maximum volume which can be inscribed in a…

A: NOTE: Refresh your page if you can't see any equations. . the radius of the sphere is R=12 the…

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: 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: What are the dimensions of an open-top right circular cylindrical can that will hold a volume of 512…

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Q: A manufacturer wants to design an open box having a square base and a surface area of 244 square…

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

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

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

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Q: Find the dimensions of the right circular cylinder of greatest volum that can be inscribed in a…

A: Given query is to find the dimensions of a right circular cylinder that can be fit inside a sphere…

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: Find the maximum volume of a cylindrical can such that the sum ofits height and its circumference is…

A: Let r denotes radius       h denotes height Then       volume of cylinder (V) = πr2h Restriction is…

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: To calculate: The dimension of the rectangular solid with a square base that yields the minimum…

A: The rectangular solid has a square base. Let the dimensions of the rectangular solid be x, x and y.…

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

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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: Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the…

A: Let 2x, 2y, 2z be the dimensions of rectangular box. Then Let

Q: A cylindrical can is to have a volume of 400 cubic centimeters. Find the dimensions (height and…

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Q: Find the maximum volume of a rectangular box whose surface area is 1600 cm? and whose total edge…

A: By using lagrange multiplier

Q: What is the largest possible volume of a rectangular box whose diagonal has length L?

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Q: A box with square base and open top has a volume of 1000 m³. Find the dimensions of the box which…

A: This question can be solved using the concept of maxima and minima.

Q: The volume of a closed cylinder tank is 11.3 m3 . If the total surface area is a minimum ,what is…

A: Introduction :

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

A:

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A:

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

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

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…