(1 in) * 1 (mile^2) = 17,378,742.9 US gallons
17378742.9 US gallons PURE WATER ≈ 145,032,638.36815932 pounds ≈ 65,785.6982 tonnes
Rain water is probably heavier than pure H2O .. but I really have no idea.
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That would also depend on the thickness of that square inch!
10 lbs per sf.
.032 Aluminum sheet typically weighs about .45lbs per square foot. Do one square inch would be 1/144th of that, or .003lbs. A little under 1/10th of an ounce
An area of 1 square inch!
Steel is typically 490 lb/cubic foot. There are 1,728 square inches in a cubic foot which means that each cubic inch weighs about .284 pounds (just a bit over a quarter of a pound per square inch).