What is the volume of the largest cone having its circular base circumscribed about a face of a rectangular parallelepiped with dimensions 2 ft. by 3 ft. by 4 ft. and its vertex lying in the opposite face?

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: Two identical cubes each of total surface area of 294 cm² are joined end to end. What is the total…

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Q: 4, find the A spherical propane gas storage tank has a volume of ft'. Using 7 = radius of the…

A: Given : A spherical propane gas storage tank has a volume of 7927 (ft)3  We have to find the radius…

Q: Find the height of an pentagonal pyramid with a volume of 652 ft³ and a base area of 120 ft². Height…

A: Find the height of the pentagonal pyramid with a volume 652 ft3 and a base area 120 ft2

Q: Find the volume of the square right pyramid below with a base edge of 40 feet and a slant height of…

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Q: Find the volume of a regular square pyramid shown if each edge of the base measures 8ft. and the…

A: Volume = 1/3 * B * H B= area of the Base H= height ( altitude ) of the pyramid Given : b= 8 ft and…

Q: The volume of the frustum of a regular triangular pyramid is 135 cu m. The lower base is an…

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Q: Compute the volume and surface area of a right regular octagonal pyramid for which the side of the…

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Q: The base edge of a square pyramid is 3 m and its altitude is 10 m Find the area of the section…

A: Given,           The base edge of a square pyramid is 3 m and its altitude is 10 m.To find: The area…

Q: Find the surface area of a square pyramid with side length 5 cm and slant height 6 cm.

A: Given figure is

Q: Find the radius of a sphere with volume 4.186 ft3.

A: Volume of the sphere  v=43πr3

Q: Find the surface area of the triangular pyramid below, if each triangular face has a base of 5…

A: Given query is to find the area of the pyramid.

Q: 3. A cone and a cylinder with the same height also share the same base. If the height of each solid…

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Q: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: The given data is: Each side of the octagonal floor has a length of 10 ft Apothem measures a=12 ft…

Q: Find the surface area of a square pyramid with side length 5 cm and slant height 4 cm.

A: The base of the square pyramid is 5 cm. The slant height of the square pyramid is 4 cm. The area of…

Q: Find the surface area of a square pyramid whose side length of the base is 9 cm and has a slant…

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Q: Find the total surface area of a frustum of a right square pyramid whose upper and lower base edges…

A: To find out the total surface area of a frustum of a right square pyramid.

Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: To determine the volume of the largest cone having its circular base circumscribed about a face of a…

Q: A rectangular solid whose dimensions are 4cm, 8cm, and 12cm is inscribed in a sphere. What is the…

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Q: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

A: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

Q: What is the surface area of this square pyramid with a base length of 5 meters and a slant height of…

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Q: What is the surface area of a regular pentagonal pyramid with base side length of 8 cm, apothem of…

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Q: Find the volume of a pyramid with height 21 and rectangular base with dimensions 2 and 12.

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Q: Find the volume and lateral surface area of the frustum of a regular square pyramid whose altitude…

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Q: Please help

A: Given, height = 24 cm                                          base length = 20 cm

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: 1. Find the total area and volume of frustum of regular square pyramid, whose base have sides 10 cm…

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Q: What is the surface area of an octagonal pyramid with slant height 16cm and whose side of octagon…

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Q: A solid cube of metal whose edges are 22 cm is melted and recast into rectangular solid whose base…

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Q: Find the lateral surface area, total surface area, and volume of the square-based pyramid with a…

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Q: Find the surface area of a square pyramid with side length 2 mi and slant height 2 mi.

A: The square pyramid has side length 2mi and slant height 2mi

Q: What is the surface area of the regular pyramid? What is the surface area of a square pyramid with a…

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Q: The volume of a pyramid whose base is a square is 551.67m³. If the altitude of the pyramid is…

A: As we know that the volume of the pyramid is: V=13×B×h Where, B is the base area and h is the…

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

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Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

A: Given, Base side length, l= 6cm,Apothem, a=5.2 cmHeight, h=15 cm

Q: What is the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a slant…

A: We have to find the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a…

Q: Find the area of the base of a regular square pyramid whose lateral faces are equilateral triangles…

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Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: A wooden block is in the shape of a square pyramid. The square base is 5 cm by 5 cm, and the pyramid…

A: Total surface area

Q: Find the lateral surface area, total surface area, and volume of the square-based pyramid with a…

A: Given, The square-based pyramid with a base of 6 cm and slant height 14 cm. We have to find  the…

Q: find the volume and the surface area of a square pyramid with a slant height of 5.22ft, hight of 5ft…

A: Given square pyramid with a slant height of 5.22ft, hight of 5ft and sides of 3ft

Q: What is the surface area of a square pyramid with base side length of 15 cm and slant height of 5…

A: The objective is to find the surface area of a square pyramid

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: Find the volume of a frustum of a regular pyramid with hexagonal bases whose sides are 4cm and 6cm,…

A: To find the volume of a frustum of a regular pyramid with hexagonal bases whose sides are 4 cm and 6…

Q: Suppose the area of the base of a pyramid is 112 ft2 and its lateral surface area is 198 ft2. What…

A: Given, Area of the base of the pyramid = 112 square feet Lateral surface area of the pyramid = 198…

Q: What is the surface area of a regular hexagonal pyramid with base side length of 6 cm, apothem of…

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

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

Q: Assuming that the (square) base of this building has a side length of 646 feet and that the pyramid…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…