The area of the rectangular piece of cardboard shown below is 192 square inches. The cardboard is used to make an open box by cutting a 3-inch square from each comer and turning up the sides. If the bo have a volume of 180 cubic inches, find the length and width of the cardboard that must be used.

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: A frame that measures 8 inches by 11 inches is of uniform width. The area of the picture inside is…

A:

Q: A carton with a square base is designed to contain 1.80 cubic meters.  The carton is 1.15 meters…

A:

Q: A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by…

A: Let the length of the box is = x cm  width= y cm.  Given height= 2 cm  So the volume=2xy

Q: At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is…

A: Given each mold is a rectangular prism whose height is 3 inches greater than the length of each side…

Q: A large ice cream cone has a diameter of 4 inches. The height of the cone is 7 inches. If ice cream…

A: used formula :  V=(1/3)πr2h where V=volume of cone r= radius of cone  h=height of cone

Q: The top of the rectangular box has an area 54CM squared the sides have areas of 48CM squared and…

A: area of the side of the box is = length*breath

Q: A rectangular piece of cardboard, whose area is 320 square centimeters, is made into an open box by…

A:

Q: A rectangular table has an area of 27ft? and a perimeter of 24ft. What are the dimensions of the…

A: Given that, A rectangular table has an area of 27 ft2 and a perimeter of 24 ft.

Q: A frame that measures 13 inches by 9 inches is of uniform width. The area of the picture inside is…

A: Recall: Area of the rectangle: l(length)×b(breadth)

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Q: The base of a tissue box has an area of 72in. If the volume of the tissue box is 504in, what is the…

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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: 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: the volume of a sphere whose radius is 2cm is four times that of a sphere whose radius is 1cm true…

A: Given,         The volume of a sphere whose radius is 2 cm is four times that of a sphere whose…

Q: The base of a right prism is a rectangle. If the rectangle has dimensions 2 x 3, and the prism has a…

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Q: Find the dimensions of a rectangle with an area of 225 cm2, whose perimeter is as small as possible.

A: Given that area of rectangle is 225 cm2.

Q: A rectangle has length 14 cm and width 4 cm. What is the area of a square that has the same…

A: Given Length of rectangle is 14cm, Width of rectangle is 4 cm. We know that perimeter of rectangle…

Q: From a piece of cardboard 24cm x 15cm, a box is to be made by cutting equal squares out of its…

A: Here I am attaching image so that you understand each and every step.

Q: the volume of the cube is 343cm sq. what is the side?

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Q: Patrick has a rectangular patio whose length is 5 m less than the diagonaland a width that is 7 m…

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Q: The diameter of a sphere is 20 cm. If you enlarge the radius of the sphere by four times, what will…

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Q: A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions…

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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: The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15…

A: Given,         The width and height are 20 and 15 feet and the length of the prism is 24 ft.

Q: Find the dimensions of a rectangle with perimeter 200 ft and whose area is as large as possible. O…

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Q: A frame that measures 11 inches by 10 inches is of uniform width. The area of the picture inside is…

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Q: The top and bottom margins of a poster_are 6 cm and the side margins are 4 cm. If the area of the…

A:

Q: The area of a rectangular patio is 3x2 + 17x + 20 ft2. Which of the following could be dimensions of…

A: Introduction: A rectangle is a quadrilateral whose opposite sides are parallel and equal in length…

Q: For a given box, the height measures 3m. If the length of the rectangular base is 2m greater than…

A: Given: For a box,  Height is, h= 3 m Length is, l=b+2 m , here b is the width of the box. Lateral…

Q: width: 6 in., height: 4 in. B width: 8 in., height: 3 in. C width: 4 in., height: 6 in. width: 3 in,…

A: As we know that the volume of the rectangular prism is:   V=L·W·H   Where, L=Length W=Width H=Height

Q: A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft.…

A: A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft.…

Q: A frame that measures 13 inches by 11 inches is of uniform width. The area of the picture inside is…

A: NOTE: Refresh your page if you can't see any equations. . dimension of the frame is 13 by 11 let x=…

Q: A dog trainer has 58 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given:

Q: The area of a diagonal section of a cube is 36 square root of 2 sq. cm. What is the volume of the…

A:

Q: The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid's base if…

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Q: A rectangular prism has a length of 7 inches and a width of 8 inches. The lateral area is 270 square…

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Q: Find the width for this rectangular prism if the length is 12 cm, the height is 5 cm, and the volume…

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Q: The volume of a rectangular prism is 655.2 ft3. If the base of the prism is 9 feet by 5.2 feet, find…

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Q: A dog trainer has 66 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given:Perimeter = 66 ftArea = 182 ft2

Q: Mr. Trombley says that half a sphere stacked on top of a cone roughly models an ice Cream cone. Find…

A:

Q: The volume of a right cone is 48π units^3. If its height is 9 units, find its circumference in terms…

A: Recall:  volume, V=13πr2h Circumference, C=2πr We have, V=48π, h=9

Q: For a given box, the height measures 6 m. If the length of the rectangular base is 2 m greater than…

A: Given: length of the box=l=2+width=2+wwidth=w=?   and height=h=6Also…

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

A:

Q: A landscaper, who just completed a rectangular flower garden measuring6 feet by 10 feet, orders 1…

A: Definition used -             Area of a rectangle -                                            A=l×w…

Q: A margarine tub has the shape of a frustum of a cone. With the lower base having diameter length 11…

A: Given: A margarine tub has the shape of a frustum of a cone. The lower base of a margarine tub:…

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: A frame that measures 9 inches by 11 inches is of uniform width. The area of the picture inside is…

A:

Q: The top of a rectangular box has an area of 132 cm². The sides have areas of 88 cm² and 96 cm².…

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