1. CHAPTER 9 Geometry in Space

2. 9.1 Prisms & Cylinders

3. Definitions Polyhedron = a 3-d figure that has many faces Prism = has two parallel bases that are the same size and shape Height of a prism = the perpendicular distance between the two bases

4. Rectangular & Triangular Prisms Rectangular Prism Triangular Prism

5. Other Polyhedrons

6. Cylinder and Cone Cylinder Cone

7. Practice Draw the prism or cylinder from its description. 1. A rectangular prism with a base of 5 in by 3 in and a height of 5 in. 2. A triangular prism with a base of 3, 4, and 5 centimeters and a height of 7 centimeters. 3. A cylinder with a base radius of 10 centimeters and a height of 15 centimeters.

8. 9.2 Volume of a Rectangular Prism

9. Volume Formula Volume = (length)(height)(width) V = lwh

10. Practice

11. 9.3 Volume of a Triangular Prism

12. Volume Formula V=Bh V= (½bh)h This is the area of the base or triangle on the bottom

13. Practice

14. 9.4 Volume of a Cylinder

15. Volume Formula V = πr 2 h

16. Practice

17. 9.5 Surface Area of a Prism

18. Surface Area The sum of all the areas of the polyhedrons faces.

19. Practice

20. 9.6 Surface Area of a Cylinder

21. Surface Area Formula S = 2πrh + 2πr 2 lateral surface area base area

22. Practice