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Short of weighing and counting you will have to make an estimate. Assume No. 8 screw is a cylinder 0.16" diameter and 2.5 inches long. The volume is therefore 0.05 cubic inches (approx). The density of steel is about 490 pounds a cubic foot or 0.284 pounds per cubic inch. 1 screw therefore weighs 0.05 x 0.284 pounds or 0.0142 pounds.
So, based on the rough calculation above, you will get at least 5/0.0142 or 352 screws.
The assumption that the screw head 'fills in' the screw thread may not be strictly accurate but can't be too far out.


I just bought a pound of 2 1/2" galvanized (exterior) screws at home depot. There were 86 in the box.

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