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One square inch of dust weighs nothing, because there is no depth measurement given in your question. What we really need is "What does one cubic inch of dust weigh?"
So, since only weight per cubic foot of dust is available (around 100 lbs if you're weighing silica dust), we need to know how many of those cubic inches are in one cubic foot. [pound = lb]
A cubic foot in inches measures 12" x 12" x 12". This amounts to 1,728 cubic inches. Divide 100 lbs into 1,728 separate chunks, each measuring 1" x 1" x 1" and you get a cubic inch weighing 0.05787 lbs. Multiply that by 16 and you get a cubic inch of dust weighing 0.926 ounces, because there are 16 ounces in one pound.
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