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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