1. Lesson 8.2B Lateral and Surface Area of Pyramids and Cones Standards: M.3.G.2 M.3.G.3

2. Review Surface Area: The sum of the areas of the faces of a polyhedron Lateral Area: The sum of the areas of the faces of a polyhedron except for the base

3. Lateral Area - Pyramids Lateral Area = ½ P l P: Perimeter of the base l: slant height

4. Example Find the lateral area of the right square pyramid. Round your answer to the nearest whole number: 18' 24'

5. Surface Area - Pyramids Surface Area = LA + B LA: Lateral Area B: Area of the Base

6. Example Find the surface area of the right square pyramid. Round your answer to the nearest whole number: 10' 12'

7. Now You Try… Find the lateral area and the surface area of the regular triangular pyramid. Round your answer to the nearest whole number: 13” 10”

8. Lateral Area - Cones Lateral Area = π r l r: radius of the base l: slant height

9. Example Find the lateral area of the cone. Round your answer to the nearest whole number. 6" 12"

10. Surface Area - Cones Surface Area = π r l + π r 2 r: radius of the base l : slant height

11. Example Find the surface area of the cone. Round your answer to the nearest whole number. 8" 15"

12. Now You Try… Find the lateral area and the surface area of the cone. Round your answer to the nearest whole number. 11" 31"

13. Real Life Application Problems Example: The framework for a decorative trellis to support a grapevine is in the shape of a square pyramid. If the height is 6 meters and the width of the base is 2 meters, what amount of netting is needed to protect the grapes from the birds? Round your answer to the nearest whole number.

14. Example 6 m 2 m

15. Now You Try… A toy company plans to market a square pyramid-shaped space station component for its line of Galaxy Generation figures. The space station will need to be coated all over the outside with a reflective paint. How many square inches will need to be painted on each item? Round your answer to the nearest whole number.

16. Now You Try… A toy company plans to market a square pyramid-shaped space station component for its line of Galaxy Generation figures. The space station will need to be coated all over the outside with a reflective paint. How many square inches will need to be painted on each item? Round your answer to the nearest whole number. 8” 16”