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The answer will depend on how deep a layer of sand.
That depends entirely on what kind of sand how deep you spread it. As an approximation, you could assume a bulk density for dry sand of about 110 lb/ft3. One ton (2000 lb) of sand would thus be about 18.18 ft3 or 0.673 yd3. If you spread it 6 inches deep you could cover about 4 square yards. At a foot deep, you would cover 2 square yards. At 3 inches deep you would cover 8 square yards. At 1 inch deep you would cover 24 square yards Reported bulk densities for sand range from 78 lb/ft3 for molding sand to 130 lb/ft3 for moist sand.
Your patio is (8x8)/6in = 10.66 cubic foot. The sand comes in 50 lb bags that cover 0.5 cubic foot so you will need 21.33 bags (round up to 22 or down to 21)
V = 16x17x8/12 = 181 1/3 cubic feet sand has a density of about 2.7, water weighs 62.4 lb/ft3 Wt = 2.7x62.4x(181 1/3 ) = 30551.04 pounds or about 15 1/4 tons of sand
Way to many. I think each bag does a cubic foot. It is much better to get masons sand delivered by dump truck if possible. Normally about $ 250 for this size pool. Roughly about 4 tons.