4.3 A barn is constructed as follows: The room space is constructed as a right rectangular prism with a square base. The length of one side of the base of the prism is equal to 15 metres. The height of the wall of the room is 20 metres. The roof is constructed in the form of a right triangular pyramid with a height of 10 metres. Calculate: The slant height of the triangular face of the pyramid. The area of one of the triangular faces. The total exterior surface area of the barn. The volume of the barn.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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4.3
A barn is constructed as follows:
The room space is constructed as a right rectangular prism with a square base. The length of
one side of the base of the prism is equal to 15 metres. The height of the wall of the room is 20
metres. The roof is constructed in the form of a right triangular pyramid with a height of 10
metres.
Calculate:
The slant height of the triangular face of the pyramid.
The area of one of the triangular faces.
The total exterior surface area of the barn.
The volume of the barn.
Transcribed Image Text:4.3 A barn is constructed as follows: The room space is constructed as a right rectangular prism with a square base. The length of one side of the base of the prism is equal to 15 metres. The height of the wall of the room is 20 metres. The roof is constructed in the form of a right triangular pyramid with a height of 10 metres. Calculate: The slant height of the triangular face of the pyramid. The area of one of the triangular faces. The total exterior surface area of the barn. The volume of the barn.
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