find the maximum volume of a rectangular box that a post office will accept for delivery of the sum of its length and girth cannot exceed 108 inches

Q: A rectangular piece of cardboard is 16 inches by 10 inches. Squares are going to be cut out of the…

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Q: A rancher has 240 ft of fencing with which to build a rectangular corral alongside an existing…

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Q: What is the longest dimension of an open top rectangular box of greatest volume that can be…

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Q: A delivery company accepts only rectangular boxes the sum of whose length and girth (perimeter of a…

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Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

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Q: A rectangular storage area is to be constructed along a side of a building. A security fence is…

A: Given  Take length of side parallel to building = y  length of side perpendicular to building = x…

Q: A manufacture wants to design an open box having a square base and a surface area of 256 square…

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Q: Find the maximum number of goldfish you can put in a cylindrical tank whose diameter is 8 meters and…

A: Fish would be put in the tank, that is, the volume of the tank. Hence the volume of the tank helps…

Q: A sheet of cardboard 16 in. square is used to make an open box by cutting squares of equal size from…

A: Given, a sheet of cardboard 16 in. square is used to make an open box by          cutting squares of…

Q: if an open box is to be made using a square sheet of tin, 20 inches by 20 inches, by cutting a…

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Q: A square piece of cardboard of side a is used to make an open-top box by cutting out a small square…

A: Since, a square piece of cardboard of side 'a' is used to make an open-top box by cutting out a…

Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

A:

Q: A rancher has 260 ft of fencing with which to build a rectangular corral alongside an existing…

A: Given A rancher has 260 ft of fencingLet the length of rectangle=x ftand width of rectangle=y ft

Q: An open-top bin is to be made from a 15-centimeter by 40-centimeter piece of plastic by removing a…

A: A piece of plastic is 15 cm by 40 cm. Let the square piece be cut of side ‘a’ at each corner of the…

Q: A rectangle sheet of cardboard measures 16 cm by 6 cm . equal squares are cut out of each corner and…

A: We need to find maximum volume.

Q: An open box is formed by cutting identical squares from each corner of a 22 inches by 22 inches…

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Q: Find the maximum volume of a cylindrical soda can such that the sum of its height and its…

A: we have to find the maximum volume of a cylindrical soda can such that the sum of its height and its…

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…

Q: An open-top bin is to be made from a 15-centimeter by a 40-centimeter piece of plastic by removing a…

A: Assume that side of square which should be cut from each corner is a.Given the dimension of piece of…

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 box is to be manufactured such that its width is exactly three times its length and its volume is…

A: Let us consider the length of the box to be x meters Hence, width of the box is 3x meters Since,…

Q: An open box is to be made from a square piece of material, 12 inches, by cutting equal squares from…

A: Here we use the concept of APPLICATIONS OF DERIVATIVES

Q: the radius of a sphere is found to be 22 cm in length with a possible error of more than 0.07 cm.…

A: The measure of the radius of a sphere is 22 cm with an error of 0.07cm.

Q: A rectangular piece of paper with a perimeter of 100 cm is to be rolled to form a cylindrical tube.…

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Q: An open box will be made by cutting a square from each corner of a 10-cm by 16-cm piece of cardboard…

A: To find: The size of square to be cut from the corner of cardboard to maximize volume and also find…

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: A farmer plans to fence a rectangular pasture adjacent to a river. He has 1400 feet of fencing to…

A: Let one side of the rectangular pasture to be x. Graphical representation is,

Q: An open-top crate is to be constructed with 54 ft2 of material available to use. The length of its…

A: Let width = x So, length = 2xLet height = hVolume of the crate = V = (x)(2x)(h)= 2hx^2

Q: A farmer is constructing a rectangular pen with one additional fence across its width. Find the…

A: Let the width of rectangular pen is x m and length is y m. So, perimeter of rectangular pen is…

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

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Q: Three sides of a rectangular playing field are to be fenced with 400 m of fencing. Determine the…

A: Application of derivative

Q: A rain gutter is made from sheets of aluminum that are 12 inches wide by turning up the edges to…

A: Given that, The three sides of the rain gutter is add up to 12 inches              2x+y=12⇒y=12-2x…

Q: A box with an open top is to be constructed from a square piece of cardboard that is 4 feet wide by…

A: Square piece of cardboard of 4 feet wide. Let x feet be cut off from each corner of the square piece…

Q: An open top box is to be formed by cutting squares of equal sides from 15m by 15m square peice of…

A: Let the length of small square = x Hence, length of the big square = 15 - x - x = 15 - 2x Therefore,…

Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each…

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

Q: A piece of cardboard is 14 inches by 10 inches and the corners were to be cut out and fold up the…

A: Let squares of x inches will be cut from the corners.So the length of the…

Q: An open box is formed by cutting identical squares from each corner of a 4 inches by 4 inches sheet…

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Q: A piece of wiren 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Length of the wire is 10 m. Let the length used for the square be x. Thus, the length used for…

Q: A rancher has 240 ft of fencing with which to build a rectangular corral alongside an existing…

A: We know, in rectangle, pair of opposite sides are equal.In rectangular corral, let length of equal…

Q: A rectangular box is to be made from a piece of cardboard 24 inches long and 9 inches wide by…

A: Find volume of cuboid and put zero

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

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Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

A: We have to find the maximum area of given rectangle.

Q: A piece of wire of length 200 ft is bent into the shape of a rectangle. Which dimensions produce the…

A: Given:  Length of wire = 200 ft Wire is bent into the shape of a rectangle So, perimeter of…

Q: A close rectangular box where length is double its width has a total surface of 300 square inches.…

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Q: A farmer has 3000 m if fencing on hand. Determine the dimensions of a rectangular fencing that…

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Q: Brittany needs to construct a cylinder from a single sheet of metal with a perimeter of 2,148 mm.…

A: Given that a single sheet with perimeter 2148 mm.