The cage containing exotic birds is in the shape of a hexagonal prism. If the side length is 12 ft, the apothem is 10.39 ft and the height is 15 ft, how much space inside the cage is there for the birds to move around? Round your answer to the nearest hundredth, if necessary. Please show work

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
Section9.4: Polyhedrons And Spheres
Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...
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The cage containing exotic birds is in the shape of a hexagonal prism.

If the side length is 12 ft, the apothem is 10.39 ft and the height is 15 ft, how much space inside the cage is there for the birds to move around? Round your answer to the nearest hundredth, if necessary.

Please show work

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