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Warm Up

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**Volume of Prisms and Cylinders**

12.4

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Volume of a Prism

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Formula V = Bh where B is the area of the base and h is the height

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EXAMPLE 2 Find volumes of prisms and cylinders Find the volume of the solid. a. Right trapezoidal prism SOLUTION (3)(6 + 14) a. The area of a base is 1 2 = 30cm2 and h = 5 cm. V = Bh = 30(5) = 150cm3

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Volume of Cylinder

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**Formula of Cylinder V = Bh Where B is the area of**

The base and h is the Height of the cylinder B = πr2

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**Find the volume of an oblique cylinder**

EXAMPLE 4 Find the volume of an oblique cylinder Find the volume of the oblique cylinder. SOLUTION Cavalieri’s Principle allows you to use Theorem 12.7 to find the volume of the oblique cylinder. V = π r2h Formula for volume of a cylinder = π(42)(7) Substitute known values. = 112π Simplify.

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**Find the volume of an oblique cylinder**

EXAMPLE 4 Find the volume of an oblique cylinder ≈ Use a calculator. The volume of the oblique cylinder is about cm3. ANSWER

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GUIDED PRACTICE for Example 4 and 5 5. Find the volume of the solid shown below. ANSWER ft3

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Homework Pg 5-25 odd, not 13, 21

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12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

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