A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 114 inches (see figure). Find the dimensions of the package of maximum volume that can be sent. (Assume the cross section is square.) X = y =

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A: Given, length of box is 22 feet and surface area are 96 square feet.

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A: We can find the maximum volume of the box as below

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Q: An open box is to be made from a 6 ft by 16 ft rectangular cardboard by cutting out equal squares…

A: Find the maximum volume  by derivative

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A: If the side of square base is 'a'cm and length is 'b'cm Than surface area will be a2b

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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…

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Q: An open rectangular box is 3 feet long and has a surface area of 16 square feet. Find the dimensions…

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A: Use the following formulae, to obtain the solution. Area of Parabolic Segment=23bhVolume of the…

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A: Given:       Volume =1000 cm3       Volume of cylindrical tin V=πr2h      then,            πr2h=1000…

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A: Topic:- application of derivatives

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Q: An open box is to be made from a 33 ft by 88 ft rectangular piece of sheet metal by cutting out…

A: Solve the given problem.

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Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume