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9.4 Volume of Prisms and Cylinders

9.4 Volume of Prisms and Cylinders

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Student Help<br />

STUDY TIP<br />

Because you are<br />

multiplying three units<br />

<strong>of</strong> measure when you<br />

find volume, your<br />

answer will always<br />

be in cubic units.<br />

ft ft ft ft 3<br />

EXAMPLE 2 Find the <strong>Volume</strong> <strong>of</strong> a Prism<br />

Find the volume <strong>of</strong> the prism.<br />

a. b.<br />

5 in.<br />

7 in.<br />

Solution<br />

4 in.<br />

a. V Bh Write the formula for volume <strong>of</strong> a prism.<br />

(7 p 4) p 5 Area <strong>of</strong> rectangular base lpw 7 p 4.<br />

140 Simplify.<br />

ANSWER The volume is 140 cubic inches.<br />

b. V Bh Write the formula for volume <strong>of</strong> a prism.<br />

1 p 8 p 6 p 3<br />

2<br />

Area <strong>of</strong> triangular base 1 p 8 p 6.<br />

2<br />

72 Simplify.<br />

ANSWER The volume is 72 cubic feet.<br />

Find <strong>Volume</strong> <strong>of</strong> <strong>Prisms</strong><br />

Find the volume <strong>of</strong> the prism.<br />

1.<br />

6 ft<br />

2.<br />

5 cm<br />

3.<br />

7 in.<br />

7 in.<br />

9 ft<br />

4 ft<br />

5 cm<br />

5 cm<br />

10 in.<br />

<strong>Volume</strong> <strong>of</strong> a Cylinder The method for finding the volume <strong>of</strong><br />

a cylinder is the same for finding the volume <strong>of</strong> a prism.<br />

<strong>Volume</strong> <strong>of</strong> cylinder area <strong>of</strong> base height<br />

<br />

r<br />

B πr 2<br />

8 ft<br />

6 ft<br />

3 ft<br />

<strong>9.4</strong> <strong>Volume</strong> <strong>of</strong> <strong>Prisms</strong> <strong>and</strong> <strong>Cylinders</strong> 501<br />

h

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