1. PrismsPyramids Have 2 bases Named by the shape of the bases Have 1 base Lateral faces meet at one point Named by the shape of the base Pentagonal Prism Hexagonal Pyramid

2. BASE HEIGHT

3. Right Prism Oblique Prism height

4. Base Height Lateral Surface

5. Lateral Area (LA): the sum of the areas of the solid’s lateral surfaces P = PERIMETER of base (add all sides of the base) B = area of BASE (use different formulas according to the shape of the base) h = HEIGHT of the solid Total Surface Area (TA or SA): the sum of the areas of all of its surfaces

6. Formulas for PRISMS LA = Ph Lateral Area = Perimeter of Base  height of prism SA = Ph + 2B Surface Area = Perimeter of Base  height of prism + 2  Area of Base

7. EX:1 Find the lateral area. (One base is the side that is on the ground.) 2.1 cm 3.6 cm 6.8 cm LA = 43.68 cm 2

8. EX:2 Find the surface area. 2.1 cm 3.6 cm 6.8 cm SA = 92.64 cm 2

9. EX:3 Find the lateral area. (One base is the side that is on the ground.) 6 m 8 m 9 m LA = 216 m 2

10. EX:4 Find the surface area. (One base is the side that is on the ground.) 6 m 8 m 9 m SA = 264 m 2

11. Formulas for Cylinders LA = 2  rh SA = 2  rh + 2  r 2

12. EX:5 Find the lateral area. Round to the nearest tenth. 5 cm 3.8 cm

13. EX:6 Find the surface area. Round to the nearest tenth. 5 cm 3.8 cm SA = 2  rh + 2  r 2

14. Surface Area of Pyramids and Cones Section 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone

15. Pyramids are classified by the shapes of their bases

16. Surface Area verses Lateral Area of a Pyramid The lateral area of a pyramid: LA = P = Perimeter of the base l = slant height The surface area of a pyramid: SA = B = Area of the base

17. Example

18. Surface Area verses Lateral Area of a Cone The lateral area of a cone: LA = r = radius of the base l = slant height The surface area of a cone: SA =

19. Example

20. Students