Kansas Academic Standards
Solve real-world and mathematical problems involving measurement.
8.G.10. Use the formulas or informal reasoning to find the arc length, areas of sectors, surface areas and volumes of pyramids, cones, and spheres. For example, given a circle with a 60 central angle, students identify the arc length as 1/6 of the total circumference (1/6 = 60/360).
8.G.11. Investigate the relationship between the formulas of three dimensional geometric shapes;
8.G.11a. Generalize the volume formula for pyramids and cones ( = 1/3ݐբĎ).
8.G.11b. Generalize surface area formula of pyramids and cones (ݑưݐ = ݐ + 1/2հݑðݑ).
8.G.12. Solve real-world and mathematical problems involving arc length, area of two-dimensional shapes including sectors, volume and surface area of three-dimensional objects including pyramids, cones and spheres.