Apples and Oranges. Without knowing how thick the 450 sq. ft. area is or how thick you want it to be you can't convert to cubic yards. A cubic yard has 27 cubic feet. One square foot 3 inches thick would be 1/4 cubic feet. 4 sq. ft. 3 inches thick would be 1 cubic foot.
450 sq. ft. 3 inches thick is 112 1/2 cubic feet or just a bit over 4 cubic yards.
450 sq. ft. 4 inches thick is 150 cubic feet or 5 1/2 cubic yards.
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The volume of the hole is (782 x 1.5) = 1,173 cubic ft. 1 cubic yard = 27 cubic ft 1,173 cubic ft = (1,173 / 27) = 43.444 cubic yards (repeating)
(3,600 square ft) x (1 ft) = 3,600 cubic ft.1 cubic yard = 27 cubic ft3,600 cubic ft = 3,600/27 = (133 and 1/3) cubic yards
500 sq ft X 1/12 ft / 27 cubic ft./cubic yard = 1.5 cubic yards
It takes 5.0926 cubic yards or 137.5 cubic feet.
4.938 cubic yards.