Find the volume of the largest box that can be made by cutting equal squares out of the corners of a piece of cardboard of dimensions 15 inches by 24 inches and then turning up the sides.

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: A square has side length 8 cm. If the area is multiplied by 3, what happens to the side length?

A: Let length of side of square = a given that a = 8 cm Area of the square = a2 now we need to find…

Q: A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the…

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Q: A 216 m2 rectangular pea patch is to be enclosed by a fence and divided into two equal parts by…

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

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Q: A poster is to have an area of 240 in with 1 inch margins at the bottom and sides and a 2 inch…

A: let width of printed area x and height is y area =240 x*y=240 x=240/y according to given condititon…

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

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Q: A hemispherical tank is filled with water and has a diameter of 5 feet. If water weighs 62.4 pounds…

A: A hemispherical tank is filled with water and has a diameter of 5 feet. If water weighs 62.4 pounds…

Q: An open box is to be made from a 16 inches long and 10 inches wide rectangular pieceof metal by…

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Q: Find the length and width of a rectangle whose length is 5 cm longer than its width and whose area…

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Q: A box is to be made of a piece of cardboard 9 in. square by cutting equal squares out of the cormers…

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Q: A picture that measures 4 inches by 5 inches is placed in a frame of uniform width. If the area of…

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Q: a rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

A: A rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

Q: What is the largest rectangular area one can enclose with 20 inches of string?

A: Since we are given with multiple our guideline is solve the first problem only. Kindly resubmit the…

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: As part of a landscaping project, you put in a flower bed measuring 10 feet by 12 feet. You plan to…

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Q: one rectangle is (2x+1)cm wide and (3x+2) cm long. another rectangle is (4x-2) cm wide and (5x+1) cm…

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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: A crowd standing along a parade route is 5 feet deep and 1 mile long on both sides of the street. If…

A: The ratio of person to area occupied is computed as follows. p:A=1:2.5=2:5 Observe that 1 mile =…

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: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

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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 poster is to have a total area of 125 square inches with 2-inch margins at the bottom and sides…

A: Find the overall dimensions of the poster that maximizes the poster area.

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

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Q: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: Solution: Let x be the width of the rectangle and y the height. we can form the equation  5x +…

Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

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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 box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each…

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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: A hemispherical tank is filled with water and has a diameter of 22 feet. If water weighs 62.4 pounds…

A: the volume of a hemisphere is given by  V=23πr3 here diameter is 22 feet so the radius is r=11 feet…

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: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

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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: A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds…

A: we know weight is density×volume.density of water is already given 62.4 lb/ft3. we need to find the…

Q: a window pane has dimensions of 30 inches by 22 inches. If glass sells for $0.80 per square inch,…

A: Please follow the steps as on the board.

Q: If 2000 square centimeters of material is available to make a box with a square base and an open…

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Q: A gardener wants to use 300m of fencing to fence in a rectangular garden with with an area of 5000…

A: Given : Perimeter of rectangular garden = 300m  Area of rectangular garden = 5000 m2   To find :…

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

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Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

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Q: A Photo Paper with margins of 1.00 inch at the top and bottom and 1.50 inch at the sides is to…

A: Let x and y be the width and length of the page (measured in inches). Given that the area of print…

Q: A rectangular piece of fabric has a square cut out of one corner. The longer edge of the piece of…

A: Given, A rectangular piece of fabric has a square cut out of one corner. The longer edge of the…

Q: A contractor orders 8 cubic yards of premixed cement, all of which is to be used to pour a patio…

A: To Determine: what will be the patio dimensions? (1 cubic yard = 27 cubic feet) Given: A contractor…

Q: a square lot of land has a building of 60 feet long and 40 feet wide at one corner the rest of the…

A: It is given that, the dimension of the building is 60 ft and 40 ft. The area of parking lot is 12000…

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 piece of wire is shaped to enclose a square whose area is 169 sq. cm. It is then reshaped to…

A: area and perimeter

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

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