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Presentation transcript:

Warm Up

Volume of Prisms and Cylinders 12.4

Volume of a Prism

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

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

Volume of Cylinder

Formula of Cylinder V = Bh Where B is the area of The base and h is the Height of the cylinder B = πr2

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.

Find the volume of an oblique cylinder EXAMPLE 4 Find the volume of an oblique cylinder ≈ 351.86 Use a calculator. The volume of the oblique cylinder is about 351.86 cm3. ANSWER

GUIDED PRACTICE for Example 4 and 5 5. Find the volume of the solid shown below. ANSWER 205.81 ft3

Homework Pg 823-824 5-25 odd, not 13, 21