If 1700 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 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 box for a 12-pack of soda has the dimensions of 4.8 inches X 21 inches X 7 inches. If a soda can…

A: Volume of the box is equal to 4.8*21*7=705.6 cubic inches (using formula for volume of a cuboid)…

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: A picture measuring 50 centimeters by 30 centimeters is surrounded by a frame of uniform width. If…

A:

Q: A rectangular prism has a length of 13 feet, a height of 2 feet, and a width of 4 feet. What is its…

A: the volume of a rectangular prism is given by V=l·w·h here we have length l=13 feet  width w=4 feet…

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: The top of a rectangular box has an area of 108 cm2. The sides have areas of 84 cm2 and 63 cm2.…

A: Let, Length of box=L Width of box=L Height of box=L   Given,Area of top of a rectangular box =l*b…

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: Find the dimensions of a rectangle with perimeter 100m whose area is as large as possible. Answer:

A: Given that, the perimeter of the rectangle is 100m.  Let, the length be l and the breadth be b.  So,…

Q: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4cm. If…

A: Given : In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is…

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: What is the maximum capacity of a dumpster that is 8 meters long, 5 meters wide, and 4 meters high?

A: In the given question the maximum capacity is asked of a dumpster of which dimensions are as follows…

Q: Find the volume of the largest box with no top that can be made from a piece of cardboard 30 inches…

A: Given that a box with no top has to be made from a piece of square cardboard of side  30 inches by…

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…

A:

Q: An aquarium is 16 in. high with volume of 4608 in.3 (approximately 20 gal). If the amount of glass…

A: Let the length and width of the aquarium be l and w and h=16 Hence the volume is given by lwh=4608…

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: 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: When the height of the metal in the mold is 11 centimeters , the volume of metal in the mold will be…

A: Consider:

Q: The length of a rectangle is 2 cm longer than its width. If the perimeter of the rectangle is 36 cm,…

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

A:

Q: A rectangular piece of cardboard, whose area is 143 square centimeters, is made into an open box by…

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Q: The volume of the water in a rectangular swimming pool is V = 4x + 28x? + 40x if the height is 4x…

A:

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

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Q: The stack of memo pads contains 500 sheets of paper. If each sheet of paper is 4 inches by 4 inches…

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Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If 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: Find the length and width of a rectangle whose perimeter is equal to 160 cm and its length is equal…

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Q: The volume of one of the Great Lakes is 3.5 x 103 cubic kilometers.  If there are 6.3 x 107 fish in…

A: Given that The volume of one of the Great Lakes is 3.5 x 10^3 cubic kilometers. And number of fish…

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: Find the dimensions of a rectangle whose perimeter is 36 m and whose area is 80 m2

A: First of all, consider the formula of perimeter for rectangle.Then put the given value of the…

Q: The base of a pyramid is a rectangle with a width of 6 centimeters and a length of 8 centimeters.…

A: Volume of rectangular pyramid is  V = lwh/2

Q: 9 m 17 m

A:

Q: Find the dimensions of a rectangle whose perimeter is 56 cm and whose area is 192 cm2.

A: Given:

Q: The length of a rectangle is three times its width. If the perimeter of the rectangle is 40 cm, find…

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Q: A rectangle has area x3 + 3x2 – 18x in.2 and width x + 6 in. What is the length in inches?

A: Area of the rectangle is given by, Area = Length * Width X3 + 3X2 - 18X = Length * (X+6) X *(X2 +…

Q: The length of a rectangle is twice its width. If the perimeter of the rectangle is 60 in, find its…

A:

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: If 1100 square centimeters of material is available to make a box with a square base and an open…

A:

Q: Find the width and length of a rectangle with the area of 625 square meters whose perimeter is the…

A: Explanation of the answer is as follows

Q: The length of a rectangle is four times its width.If the perimeter of the rectangle is  80 in, find…

A: Let the width = x in  So the length = 4x in

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

A:

Q: The base of a rectangular box measures 2 feet by 5 feet. If the volume is 40 cubic feet then the…

A: The base of a rectangular box measures 2 feet by 5 feet. If the volume is 40 cubic feet then the…

Q: A packing box has a volume of 30 cubic inches. How much would a similar box with twice the…

A:

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: A box has a volume of 48 cubic inches. If all the dimensions of the box are cut in half, what is the…

A: According to the question:

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

A: