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It depends on the density of the sugar.

But:

1 cup = 8 fl oz

1 fl oz = 1/128 gal

1 gal = 231 in3

8 fl oz (1/128 gal/ fl oz) = .0625 gal

.0625 gal (231 in3/gal) = 14.437 in3

1 cup = 14.437 in3

Thus:

density of sugar [lb/in3] * 14.437 in3 = weight of sugar

And:

Bagged raw sugar = 42.4 lb/ft3

Bagged white sugar = 54.9 lb/ft3

Then:

42.4 lb/ft3 * (1/12 ft/in)3 * 14.437 in3 = .35 lb

54.9 lb/ft3 * (1/12 ft/in)3 * 14.437 in3 = .45 lb

And:

1 lb = 16 ounces

Finally:

.35 x 16 = 5.6 ounces

.45 x 16 = 7.2 ounces.

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15y ago

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