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A US liquid gallon occupies 231 cubic inches. A cubic foot occupies 12" * 12" * 12" = 1728 cubic inches, so there are 1728/231 = 7.48 gallons in a cubic foot.

The hot tub has a volume of 5 * 5 * 3 = 75 cubic feet.

So it contains 75 * 7.48 = 561 gallons.

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