The top of a kitchen island is a piece of granite that has an area of 15ft2. It is 3.5 ft longer than it is wide. Find the dimension of the surface.

Q: A car's windshield is isosceles trapezoid in shape. The median is 5.5 ft and one of its legs…

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Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the area of the…

A: Geometrical  pyramid  Area is   150 square meter

Q: The diagonal of a cylinder measures 5m and its diameter is 3m. What is the lateral area of the…

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Q: Which has the greatest surface area: two pizzas that have 10 inch diameters or one pizza that has a…

A: The diameter of the small pizzas is 10 inch and that of larger one is 20 inch. So, the radius of…

Q: A satellite dish is in the shape of a parabolic surface has a diameter of 20 feet. If the receiver…

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Q: The diagram below shows a right square pyramid with a base that is 6 centimeters (cm) on each side…

A: Volume of pyramid=13Area of basexheight 96=1362 x h h=96 x 36 x 6 h=8 cm

Q: A rectangular parcel of land is 70 ft. longer than it is wide. Each diagonal bewteen opposite…

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Q: On moving day, Guyton needs to rent a truck. The length of the cargo space is  10   ft , and the…

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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: 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: A rental truck has a cargo capacity of 288 ft3. A 10-ft pipe just fits resting diagonally on the…

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Q: A 20 ft long water trough has ends in the form of isosceles triangles whose equal sides are 4 ft…

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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: A semielliptic archway has a height of 15 feet at the center and a width of 50 feet. The 50 foot…

A: Given that the semi elliptic archway of height of 15 feet at the centre and the width of 50 feet,…

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: A rectangular building lot is 8 ft longer than it is wide and has an area of 2900 ft. Find the…

A: Given: Area of the rectangular building = 2900 ft2 To determine: The diamentions of the rectangular…

Q: A semi elliptical archway over a one-way road has a height of 10ft and a width of 40ft. Your truck…

A: Given: Height of semi elliptical archway = 10 ft Width of semi elliptical archway = 40 ft Width of…

Q: The surface area of a rectangular prism is 450m^2. What will be the new surface area if all the…

A: Surface area of rectangular prism is :  SA = 2 ( WL + HL + HW ) Here L = length  W = Width  H =…

Q: A cuboidal box of dimension 1 m * 2m * 1.5m is to be painted except its bottom .Calculate how much…

A: Given, A cuboidal box of dimension 1m×2m×1.5 m is to be painted expected its bottom  . we have to…

Q: Find the dimensions of a rectangular prism whose volume is (x4 ‒  y4) units3.

A: Given that,                volume, v =  (x4 ‒  y4) units3

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 base edge of the right triangular prism is an equilateral triangle whose perimeter is 42cm. the…

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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: A rectangular room has width w and its length is 5m longer than its width. Given that the area of…

A: Given, Width  = 'w' meter           Length = w+5 meter Area of the floor = 70 m2 Area of the…

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: If you double the length of the radius of a sphere from its original length, what effect does that…

A: Given that: Length of radius of a sphere is doubled.

Q: A triangle window has an area of 600in². The base of the window is three times its height. What is…

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Q: Reba says that if she takes a block of modeling clay and makes different shapes with it, the surface…

A: It is true, because as long as the same block of clay is used, the total area available doesn't…

Q: A norman window consists of a rectangle surmounted by a semi-circle. If the perimeter of a norman…

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Q: A circular racetrack has a driving lane that is 12 feet wide, in the center of the track is a grassy…

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Q: A semielliptic archway has a height of 15ft at the center and a width of 50 ft. The 50 ft width…

A: Given Data The height of the semi-elliptic archway is c=15 ft. The width of the semi-elliptic…

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Given:  Let the lenght of of the package= x                   the radius of of the package= r…

Q: A large "round" bale of hay is actually in the shape of a cylinder with a four-foot diameter and a…

A: Dimensions of square hay = 2 ft , 4ft , 2 ft  Radius of round hay = 2ft  Height of round hay = 5ft…

Q: A prism has a volume of 213 ft3. what is the volume of a pyramid that has the same base and height…

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Q: The length of the base of a square pyramid is 15 inches. The slant height is 10 inches. What is the…

A: Given that  The length of the base of a square pyramid is 15 inches  The slant height is 10 inches…

Q: If x = 19 mm. and z = 38 mm., then the TOTAL SURFACE AREA of the square based pyramid is ______mm2.

A: Given: Slant height (z) = 38 mm Side of the base (x) = 19 mm To find: Total surface area of the…

Q: The gas tank on the back of a tanker truck is shaped as a cylinder. The diameter is 8 feet and the…

A: The solution is given below.

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: A rectangular garden length is 2ft longer than its width has an area of 65ft. Find the dimensions of…

A: Let x be the width of the rectangular garden.Given, length is 2ft longer than its width and the area…

Q: A parabolic shaped radio transmitter has a diameter of 21 inches. If the signal-emitter (focus) is…

A: Given  Diameter of parabolic shaped radio transmitter = 21 inch  focus = 18 inch

Q: Find the area of an isosceles trapezoid whose bases are 6 and 32 and whose height is 29. Round your…

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Q: A rectangular building lot is 8 ft longer than it is wide and has an area of 2900 ft2. Find the…

A: The area of the rectangle is given by A=l×w where l is the length of the rectangle and w is the…

Q: The diagonal of a cube is 3/2 cm. What is the surface area of the cube?

A: We have diagonal of a cube is 32 cm. We know the formulaes related to cube: Surface area of a…

Q: A rectangle has a perimeter of 14 ft then the dimensions of the rectangle with maximum area is a)…

A: Perimeter of a rectangle is given by P=2(l+b), where l is length and b is breadth. Since the…

Q: The sphere below on the left has a radius r = 3 cm. If the sphere is enlarged by a factor of 4, how…

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Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume

Q: A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the other…

A: Given: A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A:

Q: The end of a tough is an isosceles trapezoid of bases 24 inches and 36 inches, and non-parallel…

A: Given that: Bases of the isosceles trapezoid is 24 and 36 inches. Non parallel sides = 18 in, Length…