OAA We have 27 m2 of material to make a box without a top. The base of the box should be a square and the four sides should be rectangles. Find the maximum volume of such a box.

Q: 15. A open-top box is to be made from a 24 in by 36 in piece of cardboard by removing a square from…

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Q: A window is in the form of a rectangle surrounded by a semi-circular opening. The total perimeter of…

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

Q: A Norman window consists of a rectangle topped with a semicircle. Find the dimensions of the window…

A: Solved below

Q: Kelly has 2,400 ft. of irrigation piping he wants to use to irrigate his back lawn. He wants to lay…

A: Given query is to find the the dimension of the rectangle.

Q: Skippy wishes to plant a vegetable garden along one side of his house. In his garage, he found 28…

A: Given,Skippy found 28 linear feet of fencing and one side of garden need not fencing.We have to find…

Q: A rectangular box with a square base is to be constructed from 1000 square inches of cardboard. Find…

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Q: A rectangular box having a square base and open at the top is to have a capacity of 16,823 cubic…

A: suppose the side of the box = x cm.height= h cm.Given : Volume  = 16823 cc

Q: A farmer wants to fence in a rectangular pen and then divide it in half with a fence parallel to one…

A: Solution is below

Q: An open-top bin is to be made from a 32-inch by 42-inch piece of plastic by removing a square from…

A: We have given a rectangular piece,

Q: Answer the question below: A gift from an organization is wrapped in a box provided that the sum of…

A: This is the problem of maxima and minima of the function. By using lagrange multipliers we will…

Q: A box with a square base has a volume of 3375 ft3 . Find the dimensions of the box that minimize the…

A: It's given that the box has a square base. However, nothing is said about the the height.  Let the…

Q: 30 cm of wire is cut into 2 pieces. One piece is bent into a square, and the other piece is bent…

A: To find out the length of the two pieces.

Q: A rectangular box having a square base and open at the top is to have a capacity of 16823 cc. Find…

A: Given; A rectangular box having a square base and open at the top is to have a capacity of 16823 cc.…

Q: 15. A open-top box is to be made from a 24 in by 36 in piece of cardboard by removing a square from…

A: To find: The size of square to be cut of each corner to get a box with maximum volume. Given: The…

Q: We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold…

A: Given query is to find the hight of the box which will give maximum volume.

Q: 8. A rectangular dog pen is being built against the side of a house using 96 ft of fencing for the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: We want to construct a box with a square base and we only have 10 m² of material to use in…

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Q: A shipping container is in the shape of a triangular prism. The triangular ends of the prism must be…

A: Minimization problem

Q: DAUST's students plan to design a closed box with a square base and a surface area of 90 cm2 for…

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

Q: A cardboard box without a lid is to be made with a volume of 4 ft3. Find the dimensions of the box…

A: Given details                                                volume = 4 ft3 Let cardboard dimension…

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: Kali has decided to build a dog house for Gus. The dog house is a box and has 4 sides and a top but…

A:

Q: The diagram shows a square prism with cross-section x units by x units, and length (9- 2x) units.…

A: We know that the volume of a square prism is equal to its base area X the height. first of all we…

Q: A farmer wants to fence a rectangular pasture using a river as one side. The pasture must contain…

A: A farmer wants to fence a rectangular pasture using a river as one side. The pasture must contain…

Q: Postal regulations require that for priority mail the length and girth of a rectangular parcel…

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Q: A 39-inch by 104-inch piece of cardboard is used to make an open-top conatiner by removing a square…

A: Volume: A 39-inch by 104-inch piece of cardboard is used to make an open-top conatiner by removing a…

Q: A cardboard piece that is 12 inches by 10 inches. It is required to cut out the corners as shown…

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Q: This question is under the topic optimization and related rates

A: All the dimensions are in inches, surface area is in square inches and volume is in cubic inches.…

Q: A rectangular box is to have a base whose width is twice the length and is to have no top. If the…

A: Given, A rectangular box is to have a base whose width is twice the length and is to have no top.…

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 box without a lid is to be made from 12m2 of cardboard. Find the maximum volume of…

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Q: A rectangular page is to contain 36 square inches of print. The top, bottom, and both side…

A: Area of prited part = 36 sq. inches. Both side marginesare = 1.5 inches.

Q: A rectangular base box must be constructed, with a sheet of cardboard 40 cm wide and 50 cm long,…

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Q: A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base…

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Q: Alex wants to design a beach cabana tent with a rectangular box shape. The tent will have two square…

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Q: 8. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: A rectangular figure is given. Let, the length of parallel side of division be y and the length of…

Q: There are 10 square meters of material and a person wants to construct a box. Find the maximum…

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Q: The base and sides of a container is made of wood panels. The container does not have a lid. The…

A: Given, The volume of the wooden cuboidal container with width x cm and length five times its width =…

Q: You have 300 feet of fencing to construct a rectangular pen for cattle. What are the dimensions of…

A: Let x be the length and y be the width of the pen. According to given, 2(x+y)= 300 150=x+y y=…

Q: A rectangular box with a square base and open at the top is to have a capacity of 16,823 m3 . Find…

A:

Q: A manufacturer wants to design an open box having a square base and a surface area of 108 square…

A: The solution are next step

Q: Jackie wants to design a cylinder shaped container to hold popcorn. Each container will be made from…

A:

Q: A rectangular box without a lid is to be made from 12 m2 of cardboard. Find the maximum volume of…

A: Given that a rectangular box without a lid is to be made from 12 m² of cardboard.

Q: a) We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and…

A:

Q: An Architect Plans To Build A Triangular Enclosure With A Fence On Two Sides And A Wall On The Third…

A: The given triangle is sketched below.

Q: | We have 48 m? of material to build an open box with a square base. nine the dimensions of the box…

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Q: You are designing a glass candle holder.  It will be a rectangular prism with outer surface area 200…

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Q: An architect plans to build a triangular enclosure with a fence on two sides and a wall on the third…

A:

Q: 4. We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and…

A:

Q: rectangular closed box with a square base is to have a capacity of 27 cubic meter. Determine the…

A: Given: A rectangular closed box with a square base is to have a capacity of 27 cubic meter. To find:…