1. 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.

2. 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.

3. 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. ≈
Evaluate using a calculator.

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

5. 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.

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

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