The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid. Each side of the octagonal floor has a length of 10 ft, and its apothem measures 12 ft. If  600 ft2  of plywood is needed to cover the exterior of the foyer (that is, the lateral area of the pyramid is  600 ft2),  what is the height (in feet) of the foyer?  ft

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 34E
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The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid. Each side of the octagonal floor has a length of 10 ft, and its apothem measures 12 ft. If 
600 ft2
 of plywood is needed to cover the exterior of the foyer (that is, the lateral area of the pyramid is 
600 ft2),
 what is the height (in feet) of the foyer?
 ft
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