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 13,612 ft³, find the length of the altitude and of each side of the base to the nearest foot. altitude ft side of the base ft
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 13,612 ft³, find the length of the altitude and of each side of the base to the nearest foot. altitude ft side of the base 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 33E
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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 13,612 ft³, find the length of the altitude and of each side of the base to the nearest foot.
altitude
ft
ft
side of the base](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c33053e-aa43-49cf-b2bb-78272e2ba689%2Fdd03335f-81d4-451b-8b62-613bbd6b8ec7%2Fxwncrnd_processed.png&w=3840&q=75)
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 13,612 ft³, find the length of the altitude and of each side of the base to the nearest foot.
altitude
ft
ft
side of the base
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