1. A closed box with a square base has a surface area of 1200 square inches. Express its volume as the function of the length of its base.

Q: Find the between the porabolas area 2. X+2 メ+ 2.

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Q: . Compute for the relation between the cubic inch and the cubic cm by taking the ratio of the volume

A: 1 inch = 2.54 cm    1 cubic inch  = (1 inch × 1 inch × 1 inch)  = (2.54 cm × 2.54 cm × 2.54 cm)  =…

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Surface area of cylinder=2πr2+2πrl

Q: Suppose that the radius of the hut is increased by 2.5%. Calculate the following: (i) Percentage…

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Q: suppose that a can has a radius of 0.8 inches and a height of 3.2 inches how much soup would be able…

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Q: A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 16 in.…

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Q: A cylinder shaped storage tank has a radius of (x+5) metres and a height of x metres. Determine the…

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Q: 6. Give formulas for the volume and the surface area of acone whose height h is three times its…

A: Given: The height of  cone is three times it's radius. Formula Used: Vol of cone=13πr2hSurface…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

A: Consider a rectangle, inscribed in a circle of radius r.Then,

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

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Q: b. A container in the shape of a right circular cylinder with no top has a surface area of 15 ft?.…

A: We have to find the height and base radius for which the volume of the cylinder will be maximized.…

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

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Q: A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that…

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Q: If the height of a cylinder becomes 1/4 of the original height and the radius is doubled then find…

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

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Q: An оpen box is to be made from a 6 ft by 16 ft rectangular cardboard by cutting out equal squares…

A: We can find the maximum volume of the box as below

Q: A cardboard box without a lid is to have volume 100 cubic inches with the total area of cardboard as…

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Q: How tall should the file be to maximize the volume that it can hold?

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Q: A rectangular storage container with a square base and an open top is to have a fixed volume of…

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Q: A storage building is to be built in the form of a cylinder with a hemispherical roof. The height of…

A: Given, a storage building is to e built in the form of a cylinder with a hemispherical roof. Let…

Q: Suppose that the radius and height of a cylinder must add to be 15 cm. What radius and height will…

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Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

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Q: Compare the quantity in Column A with that in Column B. Select: (A) if the quantity in Column A is…

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Q: If a closed tin can of volume 16x cubic inches is to be in the form of a right circular eylinder,…

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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: 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: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact…

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

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: d the volume of this rectangular pyramic sure to include the correct unit in your a

A: Here we have to find the volume of the rectangular pyramid.    We have, l=7 in w=3 in  h= 7 in

Q: 3. The area on the second and third quadrant of the circle x^2+y^2=36 is revolved about the line…

A: Sketch the region and find limit in y variable.

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 square is to be cut from each corner of a piece of paper which is 8 cm by 10 cm, and the sides are…

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Q: 1. find the dimenstors of a maximum Lwithout a top of capacity, 108 sq. cm. box who de Sunface area

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Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

A: We have to find the maximum area of given rectangle.

Q: Given the area in the first quadrant bounded by y2 = x, the line x = 4, and the x-axis. What is the…

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Q: a plastic right cylinder with closed ends is to hold v cubic feet. if there is not waste in…

A: Let r and h, in feet  be radius and height of cylinder. Volume of cylinder is V cubic feet.

Q: A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 12 in.…

A: The plastic sheet has dimension 8 in. by 12 in. Let x be the height of the compartment file which is…

Q: 11. Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The dimensions of the right circular cylinder of the greatest volume that can be inscribed in a…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: We have to use the concept of derivatives

Q: Suppose I coat a circular washer (shown below) which as inner radius 1 cm and outer radius 3 cm with…

A: Write the equation of circles and solve.

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

A: Given that: A cylindrical  silo with a hemispherical metal dome.Cost of metal =1.9 times concrete…

Q: should the box have in order to minimize the surface area?

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Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r .

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Q: Suppose we want to build a cylinder that has a volume of 100 cubic centimeters. Find the radius and…

A: We have volume as constant, so we can find relation between the radius and height and use that…

Q: A television screen is 40 cm high and 60 cm wide. The picture is compressed to 62.5% of its original…

A: Using information given in the question

Q: A builder intends to construct a storage shed having a volume of 900 cubic feet. and flat roof, and…

A: According to the given information:Volume of storage shed = 900 cubic feet Width = 2/3 of the length…

Q: me?

A: we have to express the radius of a sphere as a function of its volume.

Q: A closed tin can having a volume of 27 in^3 is to be in the form of a right- circular cylinder. If…

A: Volume of the tin is 27in3.The circular top and bottom are cut from square pieces of tin.To Find:…

Q: A line with negative slop X-axis and y-axis and passes through the point (2, 2). What is the sum of…

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