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Warm Up. Volume of Prisms and Cylinders 12.4 Volume of a Prism.

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Presentation on theme: "Warm Up. Volume of Prisms and Cylinders 12.4 Volume of a Prism."— Presentation transcript:

1 Warm Up

2 Volume of Prisms and Cylinders 12.4

3 Volume of a Prism

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

5 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 = 30cm 2 and h = 5 cm. V = Bh = 30(5) = 150cm 3

6 Volume of Cylinder

7 Formula of Cylinder V = Bh Where B is the area of The base and h is the Height of the cylinder B = πr 2

8 EXAMPLE 4 Find the volume of an oblique cylinder Find the volume of the oblique cylinder. SOLUTION Cavalieris Principle allows you to use Theorem 12.7 to find the volume of the oblique cylinder. V = π r 2 h = π(4 2 )(7) Substitute known values. = 112π Simplify. Formula for volume of a cylinder

9 EXAMPLE 4 Find the volume of an oblique cylinder Use a calculator. The volume of the oblique cylinder is about cm 3. ANSWER

10 GUIDED PRACTICE for Example 4 and 5 5. Find the volume of the solid shown below. ANSWER ft 3

11 Homework Pg –5-25 odd, not 13, 21


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