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

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What you will learn! 1. How to find volume of prisms. 2. How to find volume of circular cylinders.

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VolumeCylinder

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

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

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Example 1: Find the volume of the prism: V = Bh B = 16 cm x 25 cm = 400 cm 2 V = 400 cm 2 x 8 cm V= 3,200 cm 3

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

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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

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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 in 3 = 64 in 2 h

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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

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Example 4: Find the volume of the solid.A 262 m 3 B 918 m 3 C 972 m 3 D 1,458 m 3 A 262 m 3 B 918 m 3 C 972 m 3 D 1,458 m 3

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Example 5: Find the volume of the cylinder. Round to the nearest tenth. V = Bh B = 7 2 V = 49 14 V = 2,155.1 ft 3

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Example 5: Find the volume of the cylinder. Round to the nearest tenth. V = Bh B = 5 2 V = 25 2 V = 157.1 m 3 Diameter of base, 10m Height 2 m

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Page 565 Guided Practice #’s 3-8

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

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

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Page 750 Lesson 11-2

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