Postal regulations require that for priority mail the length and girth of a rectangular parcel cannot exceed 108 inches (the girth is the perimeter of the base of the box). What is the maximum possible volume of a rectangular parcel with a square base that can be sent by priority mail?

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A: Given that volume =4000cm3 find the dimensions of the box that minimize the amount of material used…

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A:

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A: Let's find.

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A: We first convert tons into pounds

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A:

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 rectangular square-based open-top container is to be made so as the surface area equals 24 m2.…

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Q: A machinist in an engineering machine shop has ordered a sheet of plastic with dimensions of 5 m × 6…

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Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,800 feet of fencing…

A: This question is related to application of derivative.

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A: To determine the dimension of the box which minimize the amount of material used.

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: A Norman Window has the shape of a rectangle surmounted by a semicircle. If a Norman window is to…

A: Given, The perimeter of the window = 28 ft  Height of rectangular part = y width of rectangular part…

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

A:

Q: Jim wants to build a rectangular parking lot along a busy street but only has 1,600 feet of fencing…

A:

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: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: Given that the perimeter is fixed.Let us assume that the length of the rectangle part which is also…

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: 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: What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14…

A:

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

A: The rectangle which can be inscribed in a right triangle with base 8 cm and height 6  cm.

Q: A cardboard box without a lid is to have a volume of 4000cm3. Find the minimum amount of cardboard…

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A:

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: Glenview Community College wants to construct a rectangular parking lot on land bordered on one side…

A: Given : Let x be the width of the lot, and 380-2x be the length.  The area of the rectangular is…

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: What is the maximum size of the window frame you can create with 20 feet of materials? The window…

A: To Find: The maximum size of the window frame you can create with 20 feet of materials.

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

A:

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

A:

Q: what is the minimum perimeter that a rectangle with an area of 32 ft2 can have?

A:

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: A box with an open top and square base is to be created with a surface area of 300 square inches.…

A: The box is open  And base is square  Let square sides l = b = x in And height  =h in

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

A:

Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,100 feet of fencing…

A:

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 Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Given: The total perimeter is 16 feet. The given window is formed by adjoining semicircle to the top…

Q: A 10 m? plastic is to be used to form a hollow cylinder that has a circular base and| an open top.…

A:

Q: A carpenter is building a rectangular room with a fixed perimeter of 392 ft. What dimensions would…

A: Let l & b be the length and breadth of the room

Q: A parcel delivery service will deliver a package only if the length plus the girth (distance around,…

A: Let the side of the rectangular box is l, b and h.  Maximum possible dimension is  2l + 2b + h = 108…

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 farmer wants to make a rectangluar enclosure using a wall of a barn as one side and 160 ft of…

A: Let x ,in feet, be the length of side of rectangular enclosure which is along the wall of barn and y…

Q: A farmer wishes to fence off a rectangular sheep pen and uses all of 100 m of fencing. An adjoining…

A: A farmer wishes to fence off a rectangular sheep pen and uses all of 100 m of fencing. An adjoining…

Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume

Q: A company needs to build a warehouse with perimeter 300 ft. Find the dimensions to give maximum…

A:

Q: Find the maximum volume in cm of a box with a square base 1200 cm? material. Square base = x² + 4xh

A: Suppose that, “x” be the length of side of the square base and “h” is the height. There are 4…

Q: A carpenter is building a rectangular room with a fixed perimeter of 116 ft. What dimensions would…

A:

Q: An open topped box is to be made from a rectangular piece of metal 18cm x 48 cm by cutting off…

A:

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

A: We will use Lagranges multiplier method to find dimension of the box .