The street department's storage building, which is used to store the rock, gravel, and salt used on the city's roadways, is built in the shape of a regular hexagonal pyramid. The altitude of the pyramid has the same length as any side of the base. If the volume of the interior is 11,972 ft', find the length of the altitude and of each side of the base to the nearest foot.

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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The street department's storage building, which is used to
store the rock, gravel, and salt used on the city's roadways,
is built in the shape of a regular hexagonal pyramid. The
altitude of the pyramid has the same length as any side of
the base. If the volume of the interior is 11,972 ft', find
the length of the altitude and of each side of the base to
the nearest foot.
Transcribed Image Text:The street department's storage building, which is used to store the rock, gravel, and salt used on the city's roadways, is built in the shape of a regular hexagonal pyramid. The altitude of the pyramid has the same length as any side of the base. If the volume of the interior is 11,972 ft', find the length of the altitude and of each side of the base to the nearest foot.
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