An open-top box is to be made from a 20 in by 30 in piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. What is the maximum possible volume of the box? Round your answer to the nearest whole number and omit units from the answer 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 39-inch by 104-inch piece of cardboard is used to make an open-top container by removing a square…

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Q: A ball with a 20 cm diameter fits exactly into a container that is a cylinder. What is the maximum…

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Q: A delivery company wants to come up with a package box that has a square base and a volume of 40…

A: Given, Let's assume the side of the square base = a Height of the box  = h Volume = area of  base *…

Q: An open box is to be made from a 21 ft by 56 ft rectangular piece of sheet metal by cutting out…

A:

Q: An open-top box is to be made from a 30-inch by 54-inch piece of plastic by removing a square from…

A: Given:Dimension of plastic board=30inch by inch

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

A:

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

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

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: An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal…

A: Let l is length of the box, w is a width of the box and h is the height of the box.…

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

A:

Q: in. The length of the square-end edge is in. The box height is The greatest volume of the box is…

A:

Q: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: find the explanation below

Q: An open box is to be made from a 6 ft by 16 ft reetangulas card board by cutting out equaL squares…

A:

Q: Suppose that postal requirements specify that parcels must have length plus girth at most 84 inches.…

A: Length + girth = 84 inches. Here, length = h girth = 4x so, we write h+4x=84.........(1)

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

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Q: An open-top box is to be made from a 12-inch by 30-inch piece of plastic by removing a square from…

A: This is  a problem related to maxima and minima. Based on the genera formula and concept we will…

Q: A 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

A: Let assume that side of square which should be cut out from each corner = xSo dimensions of open top…

Q: If 1200 cm? of material is available to make a box with a square base and an open top, what is the…

A: according to our guidelines we can answer only first question and rest can be reposted.

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

A:

Q: An open box is made from a 16 inch by 16 inch piece of cardboard by cutting equal squares from each…

A: This question is based on application of derivative.

Q: An open-toped rectangular dumpster that is twice as

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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: 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

Q: From a 50-cm-by-50-cm sheet of aluminum, square corners are cut out so that the sides can be folded…

A:

Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

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Q: An open-top box is to be made from a 37 in. by 27 in. piece of cardboard by removing a square from…

A:

Q: Q2. Calculate the maximum volume that can be got from a rectangular sheet (4cmx3cm). The sheet is…

A: To solve this problem, we have to obtain the volume of the open box as a function of some variable x…

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 22-inch by 70-inch piece of cardboard is used to make an open-top box by removing a square from…

A: Given:size of cardboard= 22in by 70 in

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: Equal squares are cut from the corners of a cardboard, 16 cm wide and 30 cm long. an open box is…

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Q: A 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

A: Let x be side of the square which is cut in each corner then find volume of box.  Then solve for x.

Q: An open box is to be made from a 3 ft by 8 ft rectangular piece of sheet metal by cutting out…

A: We need to find maximum volume.

Q: A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and…

A: Length of the long sheet L = 10'' Width of the long sheet W = 8'' The side of the square cutting…

Q: A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a…

A: The 24-cm by 119-cm piece of cardboard used to make an open top box by removing from each corner of…

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 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: what is the maximum possible volume of rectangle box with the sum of it is 12 edges 24cm

A:

Q: An open box is to be made from a 3 ft by 8 ft rectangular piece of sheet metal by cutting out…

A: Given: An open box is to be made from a 3 ft by 8 ft rectangular piece of sheet metal by cutting out…

Q: A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length is…

A:

Q: A cardboard box in the shape of a rectangular prism without a lid is to have a volume of 62,500 cm3.…

A: Use formula, V=x^2+h A=x^2+4xh.

Q: Please

A: If we fold it we will get a cuboid with l=10-2x cm, b=8-2x cm and h=x cm Volume V for a cuboid = lbh

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

A:

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.

Q: Solve the problem. From a thin piece of cardboard 20 in. by 20 in., square corners are cut out so…

A: We have to find the maximum volume and dimensions of the box.

Q: Q1) The base of an open-top rectangular box costs 3$ per square meter to construct, while the sides…

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