In the Ape Section of the zoo, there are also other primates.  Several new monkeys need to be in a cage temporarily until they can be acclimated.  The cage will be a prism with a square base and rectangular faces.  Find total amount of space they will have to move around (the volume) if  d = 13.8√2 ft and the diagonal (x) makes a 60° angle with the side of the square base. Round the FINAL answer to the nearest cubic 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
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In the Ape Section of the zoo, there are also other primates. 

Several new monkeys need to be in a cage temporarily until they can be acclimated. 

The cage will be a prism with a square base and rectangular faces. 

Find total amount of space they will have to move around (the volume) if  d = 13.8√2 ft and the diagonal (x) makes a 60° angle with the side of the square base.

Round the FINAL answer to the nearest cubic foot.

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