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Learn how to find the volume of prisms and cylinders step-by-step with practical examples and guided exercises. Understand volume formulas and calculations for various shapes in cubic inches, meters, and feet.
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a. ANSWER The volume is192 cubic inches. Finding Volumes of Prisms EXAMPLE 1 Find the volume of the prism. Base is a rectangle with arealw. V = Bh = lwh = 12(8)(2) = 192
b. 1 (4)(3)(10) = 2 ANSWER The volume is 60 cubic meters. Finding Volumes of Prisms EXAMPLE 1 1 Base is a triangle with areabh. 2 V = Bh = 60
Find the volume of the cylinder. ≈ 254.469 Finding the Volume of a Cylinder EXAMPLE 2 SOLUTION The radius is one half the diameter, so r = 3cm. V = Bh Write formula for volume. = πr2h Write formula for volume of a cylinder. = π(3)2(9) Substitute 3for rand 9 for h. = 81π Simplify. Evaluate using a calculator.
Finding the Volume of a Cylinder EXAMPLE 2 ANSWER The volume is about 254 cubic centimeters.
ANSWER The volume is 198 cubic feet. for Examples 1 and 2 GUIDED PRACTICE Find the volume of the solid. Round to the nearest tenth if necessary.
2. ANSWER The volume is 288 cubic millimeters. for Examples 1 and 2 GUIDED PRACTICE
3. ANSWER The volume is about 70.7 cubic inches for Examples 1 and 2 GUIDED PRACTICE