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A little less than 3" deep. A cubic yard is 3ftx3ftx3ft or 27ft3. You have 9 cubic yards or 9*27ft3 = 243ft3. If you divide 243 ft3 by 1000ft2 you get 0.243 ft. Multiply by 12 to covert to inches and your answer is 2.9" deep.

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Q: How many yards of dirt do you need to fill a hole 1000 square feet?
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