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EXAMPLE 1

a. ANSWER. The volume is 192 cubic inches. Finding Volumes of Prisms. EXAMPLE 1. Find the volume of the prism. Base is a rectangle with area lw. V = B h. = lw h. = 12 ( 8 )( 2 ). = 192. b. 1. ( 4 )( 3 )( 10 ). =. 2. ANSWER. The volume is 60 cubic meters.

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EXAMPLE 1

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  1. 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

  2. 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

  3. 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.

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

  5. 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.

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

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

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