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# Lesson 11-2 Pages 563-567

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1. Lesson 11-2Pages 563-567 Volume: Prisms and Cylinders

2. What you will learn! • How to find volume of prisms. • How to find volume of circular cylinders.

3. Vocabulary

4. What you really need to know! To find the volume Vof a prism, use the formula V = Bh, where B is the area of the base, and h is the height of the solid.

5. What you really need to know! The volume Vof a cylinder with radius r is the area of the base, r 2, times the height h, or V = r2h.

6. Example 1: Find the volume of the prism: V = Bh B = 16 cm x 25 cm = 400 cm2 V = 400 cm2 x 8 cm V= 3,200 cm3

7. Example 2: Find the volume of the triangular prism: V = Bh B = ½ x 2 in x 5 in = 5 in2 V = 5 in2 x 3 in V= 15 in3

8. Example 3: Cake batter is poured into a pan that is a rectangular prism whose base is an 8 inch square. If the cake batter occupies 192 cubic inches, what will be the height of the batter? V = Bh

9. Example 3: Cake batter is poured into a pan that is a rectangular prism whose base is an 8 inch square. If the cake batter occupies 192 cubic inches, what will be the height of the batter? 192 in3 = 64 in2•h

10. Example 3: Cake batter is poured into a pan that is a rectangular prism whose base is an 8 inch square. If the cake batter occupies 192 cubic inches, what will be the height of the batter? 3 in = h

11. Example 4: Find the volume of the solid.

12. Example 5: Find the volume of the cylinder. Round to the nearest tenth. V = Bh B =  • 72 V =  • 49 • 14 V = 2,155.1 ft3

13. Example 5: Find the volume of the cylinder. Round to the nearest tenth. V = Bh B =  • 52 V =  • 25 • 2 V = 157.1 m3 Diameter of base, 10m Height 2 m

14. Page 565 Guided Practice #’s 3-8

15. Read: Pages 563-565 with someone at home and study examples!

16. Homework: Pages 566-567 #’s 11-28 all #’s 31-33, 35-42

17. Page 750 Lesson 11-2