Standards

From the NCTM Standards for Grades 9-12:

Geometry Standards:

analyze properties and determine attributes of two- and three-dimensional objects;

use geometric models to gain insights into, and answer questions in, other areas of mathematics;
use geometric ideas to solve problems in, and gain insights into, other disciplines and other areas of interest such as art and architecture 

Measurement Standards:

make decisions about units and scales that are appropriate for problem situations involving measurement

understand and use formulas for the area, surface area, and volume of geometric figures, including cones, spheres, and cylinders