LAC 28:CXLII.2309. Geometric Measurement and Dimension

A. Explain volume formulas and use them to solve problems. 1. Give an informal argument, e.g., dissection arguments, Cavalieri’s principle, or informal limit arguments, for the formulas of the circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone. 2. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. B. Visualize relationships between two-dimensional and three-dimensional objects. 1. Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. Apply properties of two-dimensional figures identified to solve problems.