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**Volume: Prisms and Cylinders**

Lesson 11-2 Pages Volume: Prisms and Cylinders

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**What you will learn! How to find volume of prisms.**

How to find volume of circular cylinders.

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Vocabulary Volume Cylinder

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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 = r2h.

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**Find the volume of the prism:**

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

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**V = Bh B = ½ x 2 in x 5 in = 5 in2 V = 5 in2 x 3 in V= 15 in3**

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

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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 in3 = 64 in2 •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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**Find the volume of the solid. A 262 m3 B 918 m3 C 972 m3 D 1,458 m3 A **

Example 4: Find the volume of the solid. A 262 m3 B 918 m3 C 972 m3 D 1,458 m3 A 262 m3 B 918 m3 C 972 m3 D 1,458 m3

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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

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Example 5: Find the volume of the cylinder. Round to the nearest tenth. V = Bh B = • 52 V = • 25 • 2 V = m3 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: Pages with someone at home and study examples!

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Homework: Pages #’s all #’s 31-33, 35-42

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Page 750 Lesson 11-2

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Warm Up 1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide, and 48 in deep. 2. A cylinder has a height of 4.2 m and a diameter of.

Warm Up 1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide, and 48 in deep. 2. A cylinder has a height of 4.2 m and a diameter of.

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