A box with no lid is being made out of flat rectangular piece of cardboard with dimensions 2 in by 5 in by cutting out a square from each of the four corners, and then folding up all the sides. What size square should be cut out in order to maximize the volume of the resulting box?

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Q: An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is…

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Q: An open-top rectangular box is being constructed to hold a volume of 250 in³. The base of the box is…

A: Given that an open-top rectangular box is being constructed to hold a volume of 250 in3.  The base…

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A: 1/

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Q: Consider a wire 4 ft long cut into two pieces. One piece forms a circle with radius r and the other…

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A: Given: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long…

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A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: An open-top rectangular box is being constructed to hold a volume of 300 in³. The base of the box is…

A: Consider a  rectangular box of dimension x, y and z as shown in the figure.

Q: Find the dimensions of a rectangular box of volume 1000cubic inches for which the sum of the…

A: Let x,y,z be the length, breadth and the height of the rectangular boxxyz=1000  and the sum…

Q: An open-top rectangular box is being constructed to hold a volume of 200 in3. The base of the box is…

A: Let the length is x, y is the breadth and z is the height of the box. Then, the base area is xy and…

Q: An open-top rectangular box is being constructed to hold a volume of 250 in³. The base of the box is…

A: Given volume =250 in^3

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: Find the dimensions of a closed rectangular Box that has a square base, a capacity of 125 in^3, and…

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Q: Consider the following problem: A box with an open top isto be constructed from a square piece of…

A: Given that A box with an open top isto be constructed from a square piece of cardboard, 3 ftwide, by…

Q: An open-top rectangular box is being constructed to hold a volume of 150 in3. The base of the box is…

A: The volume of a open rectangular box is the product of its length, width and height. The maximum or…

Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions…

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Q: An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is…

A: Ans: An open-top rectangular box is being constructed to hold a voulme of 400 in3. the base of the…

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Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: We will use second derivative test to find the maximum volume.

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Q: You are building five identical pens adjacent to each other with total 30m length of fencing, as…

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

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 8…

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Q: A closed rectangular box witha volume of 81lft' is made from two kinds of materials. The top and…

A: Given, A closed rectangular box with a volume of 81 ft3is made from two kinds of materials. The top…

Q: A rectangular corral of 96 square meters is to be fenced off and then divided by a fence into two…

A: We use second derivative test to find dimensions where amount of fencing is minimum

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Q: A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions…

A: Here, the volume of the box is given by: V=lbh Here, for the given box, l=9-2x, w=10-2x,h=x. So,…

Q: Suppose we have 45 m² of material to build a box with a square bottom and no top. What dimensions…

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Q: what dimensions of the box will minimize its cost of construction? What is the minimal cost?

A: Let l, b, h be the length, breadth, and height of the rectangular box. Then the area of the 4 side…

Q: According to postal regulations, a carton is classified as oversized if the sum of its height and…

A: NOTE- I have solved the second question as we are allowed to solve only one question in one session.…

Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions…

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Q: A rectangular box has a square base with edges at least 1 inch long. It has no top and the total…

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Q: A closed rectangular box with a square base is to be constructed using two different types of wood.…

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Q: By cutting away identical squares from each corner of a rectangular piece of cardboard and folding…

A: Draw an open made by cutting identical square from each corner of a rectangular piece of cardboard…

Q: A box without a lid will be constructed from a 12 inch by 14 inch piece of cardboard by cutting…

A: Given that a box without lid will be constructed from a 12inch by 14 inch piece of cardboard by…

Q: 2) An open box constructed from a tin sheet has a square base and a volume of 216 in cubed. Find the…

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

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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: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A: If the given figure, 'h' is the height of the box The length of the box is A-2h Width of the box is…

Q: Use a Lagrange multiplier to find the dimensions of the rectangular box of largest possible volume,…

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Q: An open-top rectangular box is being constructed to hold a volume of 200 in³. The base of the box is…

A:

Q: Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its…

A: To find: Dimension of a rectangular box. Given: Volume of the box is maximum and sum of edges of box…