A tunnel for an amusement park ride has the shape of a regular hexagonal prism with dimensions shown. The prism has a volume of 3,572.1 cubic meters. Can two 8-meter cars connected by a 3-meter connector pass through the tunnel at the same time? Explain. 7 m 8.1 m

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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Question
A tunnel for an amusement park ride has the shape of a
regular hexagonal prism with dimensions shown. The prism
has a volume of 3,572.1 cubic meters. Can two 8-meter cars
connected by a 3-meter connector pass through the tunnel
at the same time? Explain.
7 m
CI 8.1 m
Transcribed Image Text:A tunnel for an amusement park ride has the shape of a regular hexagonal prism with dimensions shown. The prism has a volume of 3,572.1 cubic meters. Can two 8-meter cars connected by a 3-meter connector pass through the tunnel at the same time? Explain. 7 m CI 8.1 m
Expert Solution
Step 1

The side of hexagon:  s = 8.1  m

Distance of side from the center of hexagon:  h = 7  m

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