4. A rectangular box is to be made from a piece of cardboard 15cm by 24 cm by cutting equal squares out of the corners and then tuming up the sides. Find the maximum volume of the box.

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A:

Q: An open-top box is to be made from a 20 in by 30 in piece of cardboard by removing a square from…

A: Let each side of the square cut-off from each corner be x in. then the length of the base of the box…

Q: A packaging company is going to make open-topped boxes out of 20 cm by 20 cm rectangles of cardboard…

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Q: 4. An open-top box with a square bottom and rectangular sides is to have a volume of 256 cubic…

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Q: An open box will be made by cutting a square from each corner a 5-ft by 8-ft piece of cardboard and…

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Q: 3. Find the dimensions of a open topped box that maximizes the volume with the constraint that the…

A: We need to find dimension of an open box that maximizes the volume.

Q: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in…

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Q: Find the minimum cost of a rectangular box of volume 140 cm³ whose top and bottom cost 2 cents per…

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Q: 12. Show that a rectangle with given perimeter has maximum area when it is a square.

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Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an…

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Q: You are to construct an open rectangular box from 12 ft2 of material. What dimensions will result in…

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Q: 2. Helmut, an ostrich farmer, wants to build a rectangular fenced enclosure divided into five…

A: Given that, Total length= 120 m

Q: Find the minimum cost of a rectangular box of volume 180 cm3 whose top and bottom cost 8 cents per…

A: Cost can be minimised by finding out the partial derivatives

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

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Q: A worker is to construct an open rectangular box 3 with the square base and volume of 12 ft.³. If…

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Q: 8. Find the dimensions of the rectangular box, open at the top, which has a maximum volume if…

A: Given surface area is 18 square feet.

Q: An open-top box is to be made from a 36 in. by 27 in. piece of cardboard by removing a square from…

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Q: A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and…

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Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inchesby cutting…

Q: A box with a square base and open top must have a volume of4000 cm^3. Find the dimensions of the box…

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Q: Two chicken coops are to be built adjacent to one another using 120 ft of fencing. a. What…

A: Total fence needed is: (x+x+x)+y+y+y+y=3x+4y So, 3x+4y=120

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: (2) A rancher wants to construct a rectangular pen by extending an existing 100 ft stone wall by an…

A: Let the length along the stone wall be x. And take the width to be y. Then the length of fencing…

Q: 2 2. A rectangular playing field is to have area 600 m . Fencing is required to enclose the field…

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Q: 4. The volume of an open box with square base is 256 cu. in. Find the dimension if the material used…

A: Lets assume  length of base = x in width = x in ( as it is square base ) height of box = y

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

A:

Q: A worker is to construct an open rectangular box with a square base and a volume of 8 ft°. If…

A: Let the height of the rectangular box be h. As the base of this box is a square, let the sides of…

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

Q: A poster is to contain 300 cm? of printed matter with margins of 10 cm at the the top and bottom and…

A: Assume some variable to be length and breadth of the poster then find its area. Derivative of area…

Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

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Q: An open-top box is to be made from a 15-inch by 63-inch piece of cardboard by removing a square from…

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Q: Find the minimum cost of a rectangular box of volume 180 cm³ whose top and bottom cost 4 cents per…

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Q: A square-based, box-shaped shipping crate is designed to have a volume of 16ft. The material used to…

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Q: $0.10/cm^2 to reinforce the can's shape, two metal wires of equal length will each be bent into a…

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Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: 4.) Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder…

A: The given question can be solved as shown in step2

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. An open box is to be made from a square piece of material, 24 inches on a side, by cutting equal…

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Q: A tube of lip balm has a height of 2.75 inches and a diameter of 0.75inches.  a. if the cap on the…

A: Part (a):Diameter of the lip balm tube, d = 0.75 inches. Thus, the radius of the tube is r = d/2 =…

Q: 9) A manufacturer wants to use 108 square inches of material to make an open topped box with a…

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Q: A poster is to contain 300 cm2 of printed matter with margins of 10 cm at the the top and bottom and…

A: We have, A poster is to contain 300 cm2 of printed matter with margins of 10 cm at the the top and…

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

Q: A box with a square base and open top must have a volume of 42592 cm. We wish to find the dimensions…

A: Let the height of the box is h and the base of the box is square of length x. so the volume of the…

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

A: To find: The way to use the wire such that the area enclosed by the triangle and square would be…

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: maximum volume

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 minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 6 cents per…

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Q: A open-top box is to be made from a 24 in by 36 in piece of cardboard by removing a square from each…

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Q: A box with a square base and open top must have a volume of 186624 cm. We wish to find the…

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Q: From a thin piece of cardboard (10 inch by 10 inch) square corners are cut out so that the sides can…

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