Volume: Prisms and Cylinders

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Presentation transcript:

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

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

Vocabulary Volume Cylinder

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.

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.

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

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

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

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

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

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

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

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

Page 565 Guided Practice #’s 3-8

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

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

Page 750 Lesson 11-2