Square yards would be a surface area measurement (3ft x 3ft), to measure surface area of a flat surface measure the length and width (in yards) then simply the two together .
for example 5yards x 2 yards = 10 square yards=10 yards2
To measure the surface area of a nonuniform surface you would need very specific tools and programs, that are not easily available.
Measuring the square yards of sand is very unusual and what you may mean is "how do I measure cubic yards of sand?"
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Square yards is a measure of area. Yards is a measure of distance. They don't translate.
square feet and yards measure different things you can't change from one to the other. Square feet measure area and yards/feet measure length/distance.
The piece is 2 yards by 4 yards ie 8 square yards. Square yards is a measure of area and there are no yards (a measure of distance) in square yards.
You can not convert these, yards measure distance, and square feet is a measure of area.
Yards is a measure of lenght square feet is a measure of area. It is not possible to equate the two.