The heigh of a sqare pyramid is 21 cm, the length of the sides of the square is 40 cm. What are the surface area and the volume of the pyramid? What is the length of the lateral edges of the pyramid?

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: FInd the diemsions of a rectangular box, open at the top, having volume 727cm^3, and requiring the…

A: Let the length, breadth and height of the box be denoted by a, b and h respectively, thenV=a × b × h…

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3. True or False?

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Q: The diameter of a cylindrical construction pipe is 4 ft. If the pipe is 23ft long, what is its…

A: Radius of pipe = diameter/2

Q: A truncated hexagonal right prism has an average lateral edge of 24 cm. What is the volume of the…

A: Given, A truncated hexagonal right prism has an average lateral edge of 24 cm. We have to find a the…

Q: Sanford, a company that produces pencils, needs to know how much yellow paint to order for their…

A: Lateral surface area of a hexagonal prism is given by- A=6ah where a is face edge while h is height…

Q: In a frustum of a right circular cone, the radius of the lower base is 15ft, while the diameter of…

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Q: What is the lateral area of this prism?  what is the surface area of this prism? What is the volume…

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Q: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm, and 12 cm. The altitude of…

A: Given: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm and 12 cm. The…

Q: The sides of the base of a regular octagonal pyramid is 8 cm. The angle between the lateral edges…

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Q: What is the surface area of a rectangular solid (also called a right rectangular prism) whose height…

A: Here we have a rectangular solid. Rectangular solid is also known as Right rectangular prism. We…

Q: A rectagular sheet of paper ,44cm x 20cm ,is rolled along its length to form a cylinder .Find the…

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Q: The base of a square pyramid has side lengths of 4.8 m. The height of each triangular face of the…

A: Given the side lengths of the base of a square pyramid is 4.8 m and the height of the triangular…

Q: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

A: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

Q: The Great Pyramid of Giza has a square base which measures 230 m on each side. The slant height of…

A: The square pyramid consist of a square base and 4 side triangles. But only the triangles are…

Q: The volume of a tetrahedron with the side length of 6 inches is what?

A: The volume of a regular tetrahedron is given by where is the edge length. The edge of the…

Q: . What is the volume of the cone with radius 3 ft and height 5 ft? Express the answer in terms of r.…

A: volume of cone = πr2h/3 here we put value of r and h h =5 r =3 volume =π(3)2(5) volume = π45 volume…

Q: A trapezoid has bases measuring 1.3 meters and 2.1 meters with a height of 1.1 meters. What is the…

A: According to the question, we have given that the lengths of the bases are 1.3 m and 2.1 m. So we…

Q: A solid cylindrical steel rod has a base area of 100 cm2 and a length of 50 cm. What is the volume…

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Q: This oblique cylinder has a volume of 90 m³ and a base area of 12 m². 12 What is the height of the…

A: Given, Volume of oblique cylinder V=90πm3 Base area is (B)=12πm3

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

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Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 33.6 cm.…

A: Topic = Mensuration

Q: Find the lateral area of a right octagonal prism with height 12 and baseedge 7.

A: Given  The height 12 and base edge 7 of right octagonal prism .

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: Given: A sphere is inscribed in a cone whose slant height equal to diameter =12 cm

Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

Q: A company wanted to manufacture 1000 hemispherical basins from a thin steel sheet .If the radius of…

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Q: The base area of a square based prism is 25 ft.² one of the lateral side faces of the prism is 30…

A: Given query is to find the total surface area of the prism.

Q: Find the volume of hollow hemispherical shell whose diameters of the internal and external surfaces…

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Q: A regular hexagonal pyramid whose base perimeter is 1 cm has an altitude of 2cm. The volume of the…

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Q: the volume of a rectangular box is 46cm^3, find the side lengths that minimize surface area

A: Please see the explanation below..

Q: Given a sphere of radius 10 ft, what is the volume of the largest cylinder which can be inscribed in…

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Q: The volume of a right circular cone is 36π. If its altitude is 2, find its radius?

A: From the given ques  the volume of the right circular cone (v) = 36π and the altiitude (h) = 2 R = ?…

Q: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

A: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

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Q: Explain why the volume of the oblique prism below, which has the same base and height as the…

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Q: One sphere has a diameter of 10 cm, and another sphere has a diameter of 4 cm. What is the…

A: Volume of sphere= (4/3)πr³  Where r is the radius of sphere  Given diameter of ist Sphere, D1 = 10…

Q: Karla has 1200 cm² of material available to make a box with a square base and an open top. Find the…

A: According to question given:Karla has 1200 cm2 of material available to make a box with a square…

Q: Find the volume of a regular pyramid shown in the figure given a circumscribing circle radius =…

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Q: 1. Find the lateral area of the square pyramid. 2,5cm

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The volumes of two similar rectangular solids are 1000 cm3 and 64 cm3. What is the ratio of their…

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Q: A trapezoidal window has a height of 18 centimeters. The bases of the window are 34 and 28…

A: To find: The area of the trapezoidal window. Given: The height of the window is 18 cm, the length of…

Q: A scoop used to measure powdered drink mix is in the shape of a cone with a radius of 5 cm.…

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Q: Find the volume of a rectangular solid whose dimensions are in the ratio 4:6:8 if the radius of the…

A: We need to find the volume of a rectangular solid whose dimensions are in the ratio 4:6:8 if the…

Q: A seamstress needs to cover a box that is 10 cm long 6 cm high and 4 cm wide with material on al the…

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Q: The base of a right prism is a triangle whose sides have lengths of 9 in., 15 in., and 12 in. The…

A: Given that the sides of the bases of a right prism are of lengths 9 in., 15 in. and 12 in. The…

Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: The base of a right prism is an equilateral triangle whose edges is 10cm each and it lateral edge is…

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Q: A regular square pyramid has lateral area of 60m^2 and base edge of 6m. What is its volume?

A: Given that, A regular square pyramid has lateral area of 60 m2 and base edge of 6 m. We have to find…

Q: What is the Lateral area of a triangular prism?  What is the surface area of a triangular prism?…

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