How the topsoil estimate works
The calculator multiplies area by depth in feet to get cubic feet, adds a settling allowance, then divides by 27 for cubic yards. A 25 by 20 foot lawn is 500 square feet. At 4 inches that is 500 x 4 / 12 = 166.7 cubic feet. Adding 20 percent for settling brings the order to 200 cubic feet, or 7.41 cubic yards.
Weight uses a density in tons per cubic yard. Moist screened topsoil typically weighs about 2,200 pounds per cubic yard, or 1.1 tons, so 7.41 yards weighs roughly 8.15 tons. Bagged topsoil is sold by volume, so the same job needs 200 bags of 1 cu ft or 267 bags of 0.75 cu ft.