A column is composed of a regular octagonal prism surmounted by a regular pyramid. The base of the pyramid coincides with the base of the prism. The altitude of the prism is 10 cm. the lateral edge of the pyramid is 12 cm., and the base edge of the prism is 5 cm. What is the lateral area, surface area, and volume of the column?
A column is composed of a regular octagonal prism surmounted by a regular pyramid. The base of the pyramid coincides with the base of the prism. The altitude of the prism is 10 cm. the lateral edge of the pyramid is 12 cm., and the base edge of the prism is 5 cm. What is the lateral area, surface area, and volume of the column?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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5. A column is composed of a regular octagonal prism surmounted by a regular pyramid. The base of the pyramid coincides with the base of the prism. The altitude of the prism is 10 cm. the lateral edge of the pyramid is 12 cm., and the base edge of the prism is 5 cm. What is the lateral area, surface area, and volume of the column?
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