When asked about the space a cube occupies, Mrs. Adamson tells her student to calculate the cube's volume. Which attribute is the formula for volume based on?

The formula for the volume of a cube is based on length, specifically the length of its sides. To calculate the volume of a cube, you use the formula ( V = s^3 ), where ( s ) represents the length of one edge of the cube. Since all edges of a cube are equal in length, the volume calculation relies wholly on this linear measurement.

When you cube the side length (multiply it by itself three times), you find the three-dimensional space that the cube occupies. Thus, the concept of volume is intrinsically linked to the measurement of length in the context of geometrical shapes. While terms like capacity and mass relate to various characteristics of objects, in the context of geometric figures such as cubes, the measurement of volume fundamentally derives from the measurement of length.