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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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