1. Chapter 10: Area & Volume 10.4, 10.5, 10.6 Space Figures Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres

2. Space Figures common three-dimensional figures prisms:two parallel bases that are congruent polygons, lateral faces that are parallelograms

3. Space Figures Pyramids:base that is a polygon, lateral faces are triangles Cylinders:two parallel bases that are congruent circles

4. Space Figures Cones:one circular base and one vertex Sphere: set of all points in space that are a given distance from a given point called the center

5. Example 1 For each figure, describe the bases and name the figure.

6. Example 2 Name the space figure you can form from each net:

7. Example 2a Name the space figure you can form from each net:

8. Surface Area abbreviated S.A. sum of the areas of the base(s) and the lateral faces of a space figure one way to find it: find the area of each piece of the space figure’s net

9. Example 1 Find the surface area of the rectangular prism using a net.

10. Example 1a Find the surface area of the triangular prism:

11. Example 2 Find the surface area of the triangular prism at the right.

12. Surface Area of a Prism lateral area:LA = ph –perimeter of base times height surface area:SA = LA + 2B –lateral area plus the area of the two bases

13. Surface Area of a Cylinder lateral area:LA = 2πrh –twice pi times the radius of the base times the height surface area:SA = LA + 2B

14. Example 3 Find the surface area of the can:

15. Example 3a Find the surface area of a can with radius 5 cm and height 20 cm.

16. Surface Area of a Pyramid lateral area:LA = ½ pl –½ perimeter of the base times the slant height surface area:SA = LA + B –lateral area plus the area of the base

17. Example 1 Find the surface area of the square pyramid:

18. Surface Area of a Cone lateral area:LA = πrl –pi times radius times slant height surface area:SA = LA + B –lateral area plus area of the base

19. Example 2 Find the surface area of the cone:

20. Surface Area of a Sphere

21. Example 3 Calculate the surface area of a basketball:

22. Homework p. 541:2-12 even, 21-23 p. 548:4-12 all p. 555:1-12 all