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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 />
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