Benchmark 9C
The Mathematical World: Shapes
Grades 9-12, page 225

There are formulas for calculating the surface areas and volumes of regular shapes. When the linear size of a shape changes by some factor, its area and volume change disproportionately: area in proportion to the square of the factor, and volume in proportion to its cube. Properties of an object that depend on its area or volume also change disproportionately.

No closely related standards have been identified.