By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 16 in. long and 6 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your answers to two decimal places.)

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A: Given: From a thin piece of cardboard 40 in. by 40 in.

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A: Consider the "x" represent the side length of the cut-out square.  The length is 8 ft and the…

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Q: An open box is to be made from a 15 ft by 40 ft rectangular piece of sheet metal by cutting out…

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

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

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Q: If an open box has a square base and a volume of 104 in.3 and is constructed from a tin sheet, find…

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Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

A: Given information: A box with an open top is to be constructed from a square piece of cardboard 2m…

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Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: Container A has Diameter = 8 feet ~ r = 4 feet Height = 16 feet.    Container B has Diameter = 6…

Q: The base of a right prism is a rectangle. If the rectangle has dimensions 2 x 3, and the prism has a…

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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…

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Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

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Q: An open-top box is to be made by cutting congruent squares of side length x from the cor- ners of a…

A: The box is in the shape of cuboid whose sides are x , 20-2x and 25-2x

Q: A rectangular box has a square base. If the sum of the height and the perimeter of the square base…

A: Explanation of the answer is as follows

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A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

Q: from a piece of cardboard that is 24 cm by 48 cm ,cut equal squares out of the corners . fold up the…

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Q: A box with an open top is to be constructed from a 11 ft by 10 ft rectangular piece of cardboard by…

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Q: identical squares from each corner of a rectangular piece of cardboard and

A: Let the height is x , the length is 11 -2x and width is 8 - 2x.

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A: Given, 5 identical pens and 30 m length of fencing. We need to maximize the total area.

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Q: A farmer wants to fence in two rectangular corrals, equal in area, using an inner fence as shown in…

A: Given;

Q: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact…

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

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

A: You have asked multiple questions, so we will solve the first question for you. The rest can be…

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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…

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Q: If the long edge of the rectangular block A is 17 times longer than the long edge of block B, and…

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Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: A box with no top has a square base. If 64 squared centimeter of material is used, what is the…

A: A box with no top has a square base and 65 cm^2 of material is used

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A: Given height = 8 cm So, given that each one of its corners a square of side 8 cm is cut off  now,…

Q: The Thinker, by Auguste Rodin, is placed in a packing case with internal measurements of…

A: Prism volume = l *b*h We are given with 6*3*5 dimensions packing case.   One dimension is tripled,…

Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: Maximizing the surface.

Q: A company wishes to manufacture an open top box with volume 56 cubic feet, and it is twice as long…

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Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: To find the maximum possible volume of the box in cubic inches

Q: An open top box is made by cutting squares from the corners of a piece of tin and folding up the…

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Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

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Q: The sphere below on the left has a radius r = 3 cm. If the sphere is enlarged by a factor of 4, how…

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Q: If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find…

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Q: Suppose you ask a jeweller to form a gold in the shape of a sphere whose volume is * cm³. But you…

A: Intial volume of gold = 4π/3.