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One US Gallon has 231 cubic inches, and the area that you've given is 36 cubic inches. So, 36/231 gallons is the exact answer, which is approximately .1558 gallons (15.6% of 1 gallon)

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Q: How many gallons of water in an area 3 square feet at 1 inch deep?
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question is meaningless. gallon is a unit of volume, sq ft is a unit of area. the above is a horrible answer. simply put your question was miss worded. i believe you meant cubic foot (not square foot). the answer is 7.481 gallons in a cubic foot