You can measure the surface of the dirt in square yards. That would be nine square feet.
However the volume or amount of dirt cannot be measured in square yards or square feet. The amount of dirt in a volume of one cubic yard would be 27 cubic feet. ( 3x3x3=27 )
The amount of dirt in a square yard to a depth of 0.5 feet would be 4.5 cubic feet. (3x3x0.5=4.5)
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27 square feet. A "yard" is a short form of "cubic yard" of something...dirt, concrete, etc. A cubic yard is 3 x 3 x 3 = 27 cubic feet.
1 square yard of area = 9 square feet of area, even if there's nothing in the area.
There are nine square feet in one square yard.
You are mixing volume (square yard) and area (length x width). How deep do you want the dirt? One foot deep you need about 80 square yards of dirt.
There are 9 square feet in a square yard, so divide the price per square yard by 9. 30.98/9=3.44222222222