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To cover that area to that depth - you would need just under 8 cubic yards of soil.
2.09 cu yds
3
5' * 3' * 2' = 30 cubic feet = 30/(3*3*3) cubic yards = 1.11... cubic yards.
1 yard = 3 feet 12 inches = 1 foot 16 ft * 1yd/3 ft * 3ft * 1yd/3ft * 3 inches * 1ft/12inches * 1yd/3feet = 0.444 cubic yards