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1 cm3 / cc = 0.004 cup SI
1 cup SI = 250 cm3 / cc
Definition of cubic centimeters of water provided by WikiPedia
One cubic centimetre corresponds to a volume of 1 / 1,000,000 of a cubic metre, or 1 / 1,000 of a litre, or one millilitre (1 cm3 ≡ 1 ml). The mass of one cubic centimetre of water at 3.98 °C (the temperature at which it attains its maximum density) is closely equal to one gram.
Definition of Metric cup of water provided by WikiPedia
The cup is a unit of measurement for volume, used in cooking to measure liquids (fluid measurement) and bulk foods such as granulated sugar (dry measurement). It is principally used in the United States and Liberia where it is a legally defined unit of measurement. Actual cups used in a household in any country may differ from the cup size used for recipes; standard measuring cups, often calibrated in fluid measure and weights of usual dry ingredients as well as in cups, are available.