A cube is a three-dimensional shape with six equal sides. In other words, it is a regular hexahedron. The volume of a cube is calculated by multiplying the length of one side by itself twice. This formula can also be written as s3, where s represents the length of one side. Therefore, if each side of a cube measures 4 inches, the volume would be calculated as 43 or 64 cubic inches. One cubic foot contains 1,728 cubic inches, so our example cube would occupy just under 0/5th of a cubic foot.
To answer the question posed, we need to know how many cups fit into a cubic foot since that is the unit being used in this instance. According to U.S customary units there are 16 cups in 1 gallon which means that there are 128 cups in 1 cubic foot (16 x 8 = 128). Dividing 1,728 by 128 gives us 13 and 1/3rds cups in 1 cubic foot which means that our example cube contains approximately 10 and 2/9th cups (64 / 6 = 10 and 2/9th).