The number of cups corresponding to 180 grams of flour depends on the density of the flour. For example, if the density of all-purpose flour is 125 grams per U.S. cup, then 180 grams represents 1.44 U.S. cups.
The density of plain flour is also 125 grams per U.S. cup, and thus 1.44 cups of plain flour likewise represents 180 grams. Cake flour, on the other hand, has a density of 100 grams per cup; therefore, 180 grams of cake flour is equivalent to 1.80 U.S. cups. Bread flour has a density of 127 grams per cup, thus 180 grams of bread flour is equivalent to approximately 1.42 cups.