The height of a rectangular box is  6   ft . The length is  3   ft  longer than fourfold the width  x . The volume is  972   ft3 .

Q: The width of a plastic storage box is 2ft longer than the height. The length is 6ft longer than the…

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Q: The area of a courtyard is 3750 m2 . Find the cost of covering it with gravel to a height of 1 cm If…

A: Given The area of a courtyard = 3750 m2 Height to which the gravel has to be covered = 1 cm…

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: If you have a cone whose height is 10 cm and a radius of 3cm, how will the volume change if the…

A: given,       If you have a cone whose height is 10 cm and a radius of 3cm.     and if the height…

Q: The diameter of a sphere is 15 inches. What is the volume of the sphere, to the nearest tenth of a…

A: We find volume of sphere here.

Q: . A box is 4 in. high. Its length is 1.5 times its width. The volume of the box i 1350 in.?. What…

A: Given Height ()=4 in ,volume of the box =1350 in -3

Q: The sum of the lengths of all edges of a cube is 60 cm. Find the volume V and the surface area T of…

A: Given: The sum of the lengths of all edges of a cube is 60 cm. The number of edges in a cube is…

Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

A: To determine the dimension of the box which minimize the amount of material used.

Q: The base of a triangle is one half of its height. If the area of the triangle is 196 find its base…

A: Given :- Area of triangle = 196 sq.mm              b = (1/2)h             h = 2b To find the value…

Q: The volume of a rectangular box is hB, where h is the height and B is the area of the base of the…

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Q: The length of a rectangle is 1 ft more than double the width, and the area of the rectangle is 66…

A: We will use given relation between width and length to determine these.

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 height of the cylinder below is 4.5 centimeters and the volume is 40.5pi cubic centimeters what…

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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: The breadth of a room is twice its height , one half of its length and the volume of the room is 512…

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Q: The volume of a rectangular box is (x³ + 6x² + 11x + 6)cm³. The box is (x + 3) cm long and (x + 2)…

A: Given:     To determine: Height of the box

Q: Solve for the radius of a sphere if the volume is 268.08 and the length of the radius is x+ 4. 12 6.

A: Given volume of the sphere, V=268.08 unit3 And the length of the radius, r=x2+4...(1) To solve for…

Q: The width of a rectangle is V84 ft and the length is 512 ft. What is the area of the rectangle?…

A: Please refer the attached image for complete solution. THANK YOU.

Q: The length of a rectangle is 2 ft more than twice the width. The area is 180 ft2. Find the length…

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Q: A rectangle lawn has area 128 yd^2. Its length is twice the width. What is the length and width of…

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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: A rectangular swimming pool measures 14 feet by 30 feet. The pool is surrounded on all four sides by…

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Q: The lenght of a rectangular bin is 2 ft more than its width and the height is 3 ft less than its…

A: See the details solution in below

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

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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 rectangular bedroom is 1 ft longer than it is wide. Its area is 342 ft2. What is the width of the…

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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: A rectangular room is 2 times as long as it is wide, and its perimeter is 24meters. Find the…

A: Assume the length of the room be l meters and width be w meters. length=twice of widthl=2w

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

A: Given that, the sum of the external and internal radii is 14 cm and the width is 4 cm. The height of…

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 rectangular table is two times as long as it is wide. If the area is 50 ft2 , find the length and…

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Q: A box with an open-top has a square base and four sides of equal height. The volume of the box is…

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Q: The storage tank holds 800 imperial gallons of water and the diameter of a tank is 48 inches what is…

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Q: Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. The cones are similar,…

A: SOLUTION-

Q: A cone has a volume of 350 cubic meters. The area of base is 70 square meters. What is the height of…

A: Given that a cone has a volume of 350 cubic meters and the area of base is 70 square meters. we have…

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 length of a rectangle is 9 ft less than twice the width. If the total area of the rectangle is…

A: The length of a rectangle is 9 ft less than twice the width. The total area of the rectangle is 35…

Q: The height of a cylindrical tank is twice its diameter. What is the surface area of the tank if it…

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Q: A cylindrical pitcher has a volume of 60 cubic inches. Andrea pours lemonade into conical glasses…

A: The volume of a cone is given by the expression V=13πr2h. Here, r is the radius of the cone and h is…

Q: The length of a rectangle is 1 ft more than double the width, and the area of the rectangle is 66…

A: Let width of rectangle be ' a '

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: The length of a batters box on a softball field is 1 ft more than twice the width. The area of the…

A: Let the width of the rectangular box is w. so the length of the rectangular box will be l=2w+1. The…

Q: The height of a rectangular box is 4 ft. The length is 1 ft longer than twice the width x. The…

A:

Q: a triangular sail is 9m taller than it is wide. its area is 56m. what is its base and height

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Q: A rectangular room is 5 meters longer than it is wide, and it's perimeter is 22 meters. Find the…

A: Solution: The objective is to find the length and width of the rectangle

Q: The height of a cube furnitore piece is x+10 inches, If the volume of the cube is x+1000 CU. in. how…

A: Given that,Height of cube, h=(x+10) inchesVolume of cube,v=(x3+1000)cu.in=(x3+103)cu.in

Q: The length of a rectangle is 2 ft more than twice the width. The area is 180 ft2. Find the length…

A: width of rectangle=W length of rectangle = W+2 Area of rectangle=W(W+2) Area of rectangle=180 ft2(…

Q: A pasture is twice as long as it is wide. Its area is 115,200 ft2. How wide is the pasture?

A: A pasture is twice as long as it is wide. Its area is 115,200 ft2.

Q: A rectangular bedroom is 7 ft longer than it is wide. Its area is 228 ft 2. What is the width of the…

A: Given, The area of the bedroom=228ft2 Let width =x ft And its length=(x+7)ft To find width (x) of…