1. Lesson 10.5 – 10.6 Surface Area of Prisms, Cylinders, Pyramids, Cones and Spheres
Essential Question: How do you find the surface area of prisms, cylinders, pyramids, cones and spheres?

2. Before we start…
You want to repaint your bedroom. How would you figure out how much paint you needed?

3. What is a net?
A two-dimensional pattern that forms a solid when it is folded

4. What is surface area?
The sum of the areas of a polyhedron’s faces

5. How do you find the surface area of a prism?
Use the formula:
𝑆𝐴=2𝐵+𝑃ℎ
Surface Area equals twice the area of the base, B, plus the perimeter of the base, P, times the height, h.

6. Find the surface area.

7. Find the surface area.

8. Find the surface area.

9. Find the surface area.

10. How do you find the surface area of a cylinder?
𝑆𝐴=2𝜋 𝑟 2 +2𝜋𝑟ℎ
Surface area equals two pi times the radius squared plus two pi times the radius times the height.

11. Find the surface area.

12. Find the surface area.

13. Find the surface area.

14. How do you find the surface area of a pyramid?
𝑆𝐴=𝐵+ 1 2 𝑃𝑙
Surface area equals the area of the base, B, plus one half times the perimeter of the base, P, times the slant height, l.

15. What is the slant height?
The height of the lateral face in a regular pyramid

16. Find the surface area.

17. Find the surface area.

18. Find the surface area.

19. How do you find the surface area of a cone?
𝑆𝐴=𝜋 𝑟 2 +𝜋𝑟𝑙
Surface area equals the area of the circular base plus the product of pi, the radius and the slant height, l.

20. Find the surface area.

21. Find the surface area.

22. Find the surface area.

23. How do you find the surface area of a sphere?
𝑆𝐴=4𝜋 𝑟 2
Surface area equals 4 times pi times the radius squared.

24. Find the surface area.

25. Find the surface area.

26. Find the surface area.

27. How do you find the surface area of prisms, cylinders, pyramids, cones and spheres?

28. Ticket Out the Door
Find the surface area.