If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = cubic centimeters.

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

A: Let heigh of box=h  and base sides of box=a  The surface area of open box is   S=the sum of the…

Q: A sphere has a radius of 9 inches. what is the volume of the sphere in cubic inches in terms of

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Q: If 2400 square centimeters of material is available to make a box with a square base and an open…

A: Given information: 2400 square centimeters of material is available to make a box Consider x is the…

Q: A teacher has an irregular stack of worksheets to grade. One worksheet has dimensions of 8.5 inches…

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Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

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Q: Find the dimensions of the rectangular box with the largest volume if the total area is given as 64…

A: Given that total surface area =  64 cm^2. We know that, the surface area for the rectangular box…

Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: Since you have posted multiple questions, I will solve only the first one as per the policy of…

Q: A rectangular piece of metal is 30 in longer than it is wide. squares with sides 6 in. long are cut…

A: Consider the provided question,Let width of the rectangular piece of metal = x in.Length = (x + 30)…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Given the surface area of square base box

Q: The open-topped box can be created by cutting squares from the four corners of a 20cm by 30cm piece…

A:

Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

A: Given:   2100 square centimeters of material is available to make a box with a square base and an…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: GIVEN - 1700 square centimeters of material is available to make a box with square base and an open…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square box be x cm and the height of the box be y cm.

Q: A rectangular solar shipping container has a volume of 84 cubic meters. The client tells…

A: Let the width of the solar shipping container be x meter. Since length is one meter longer than the…

Q: The base areas of a frustum of a cone are 25 sq.cm. and 16 sq.cm., respectively. If its altitude is…

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Q: The length of a rectangular solid is twice the width, and the height is three times the width. If…

A: Given the volume of the solid is 162 cm 3 Let the width of the rectangular solid is x. According to…

Q: A rectangular prism has a base area of 380 square feet. the volume of the prism is 4180 cubic feet.…

A: Step (I)Given:base area of prism=380 squarefeetvolume of prism=4180 cubic feetfind height of the…

Q: Approximately how many square inches of space are blank?

A:

Q: If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is…

A: Given, Length of pool l= 15 feet Width of pool w= 8 feet Number of people in the pool = 20

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: Two spheres have surface areas of 36cm squared and 49 cm squared. If the volume of the smaller…

A: Surface area of smaller sphereA1 is 36 cm2. Surface area of larger sphereA2 is 49 cm2. Consider the…

Q: Find the volume of the largest box that can be made by cutting equal squares out of the corners of a…

A: Form the equation for the volume then maximize using first derivative.

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A:

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We can solve the given problem by using the second derivative test.

Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

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Q: Find the dimensions of the rectangular box with the largest volume if the total surface area given…

A: It is known that the surfaces area for the rectangular box with edges is x,y and z is 2xy+yz+zx and…

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Surface of a box which is open from the top.It is the the sum of the a2 and 4 rectangles . Let base…

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: If 1800 square centimeters of material is available to make a box with a square base and an open…

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3, is 16 cubic centimeters. True or…

A: We will solve the following.

Q: A cube shaped box has a volume of 125 inches.  If the box is packed full of cubes with edge lengths…

A: Vbigger box = 125  cubic inchEdge length of small cube = 1 inchVolume of one small cube, Vsmall cube…

Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: Given data: The diameter of all 3 parts of the tank is, r=1.83 m. The altitude of cylinder is,…

Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

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Q: A metal plumb bob comprises a hemisphere surmounted by a cone. If the diameter of the hemisphere and…

A: Given the diameter of the hemisphere and cone = 4 cm Total length of the bob = 5 cm Find the volume…

Q: Cone A has a radius 12 inches and Cone B has a radius of 30 inches. If the cones are similar and the…

A:

Q: If I have a cube that is 1 meter on each side, what is the surface area of one side in square…

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Q: A self-storage center has many storage rooms that are 6 feet wide, 10 feet deep, and 12 feet high.…

A: Given dimensions of storage room:    width,  w= 6ft    depth,  d=10 ft     height, h=12 ft

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A: Finding the maximum volume by differentiating the volume function

Q: Find the dimensions of a rectangle with area 1000 square meters whose perimeter is as small as…

A:

Q: If 1200cm^2 of material is used to make a box with square base and open top, find the largest…

A: Box is the open top with the square base, let x be its length and width, and h be its height. Then…

Q: 9 m 17 m

A:

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A: Explained below

Q: The volume of a cubic fish tank is 64, what is the perimeter of the bottom of the fish tank ?

A:

Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

A: In this question, we want to find the largest possible volume of the given box.

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

A: Solve for the largest possible volume

Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

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Q: The dimensions of a rectangular prism can be expressed as x + 1, x − 2, andx + 4. In terms of x,…

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Q: Find the dimensions of a rectangle with area 1,000 m² whose perimeter is as small as possible. (If…

A: According to question,

Q: If 2200 square centimeters of material is available to make a box with a square base and an open…

A: