Finding Volumes of Prisms

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Presentation transcript:

Finding Volumes of Prisms EXAMPLE 1 Find the volume of the prism. a. Base is a rectangle with area lw. V = Bh = lwh = 12(8)(2) = 192 ANSWER The volume is192 cubic inches.

Finding Volumes of Prisms EXAMPLE 1 b. 1 Base is a triangle with area bh. 2 V = Bh (4)(3)(10) 1 2 = = 60 ANSWER The volume is 60 cubic meters.

Finding the Volume of a Cylinder EXAMPLE 2 Find the volume of the cylinder. SOLUTION The radius is one half the diameter, so r = 3 cm. V = Bh Write formula for volume. = πr2h Write formula for volume of a cylinder. = π(3)2(9) Substitute 3 for r and 9 for h. = 81π Simplify. 254.469 ≈ Evaluate using a calculator.

Finding the Volume of a Cylinder EXAMPLE 2 ANSWER The volume is about 254 cubic centimeters.

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the solid. Round to the nearest tenth if necessary. ANSWER The volume is 198 cubic feet.

GUIDED PRACTICE for Examples 1 and 2 2. ANSWER The volume is 288 cubic millimeters.

GUIDED PRACTICE for Examples 1 and 2 3. ANSWER The volume is about 70.7 cubic inches