In a regular hexagonal pyramid whose base edges measure 2V3 in., the apothem of the base measures 3 in. If the slant height of the pyramid is 5 in., find the length of its altitude.

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 23E
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number 21 (9.2)
ure
8 in., the apothem of the base measures 4 in. If the height
of the pyramid is 8 in., find the length of its slant height.
21. In a regular hexagonal pyramid whose base edges measure
2V3 in., the apothem of the base measures 3 in. If the slant
height of the pyramid is 5 in., find the length of its altitude.
lateral edge
asures 6 in.
4.1 in.
DITIm
gular square pyramid shown, suppose that the
of the square base measure 10 m each and that the
re 13 m each.
a of the pyramid.
pyramid.
pyramid.
Transcribed Image Text:ure 8 in., the apothem of the base measures 4 in. If the height of the pyramid is 8 in., find the length of its slant height. 21. In a regular hexagonal pyramid whose base edges measure 2V3 in., the apothem of the base measures 3 in. If the slant height of the pyramid is 5 in., find the length of its altitude. lateral edge asures 6 in. 4.1 in. DITIm gular square pyramid shown, suppose that the of the square base measure 10 m each and that the re 13 m each. a of the pyramid. pyramid. pyramid.
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