EXAMPLE 1 Finding Volumes of Prisms

Find the volume of the prism.

Base is a rectangle with area lw.V = Bh

= lwh= 12(8)(2)= 192

ANSWER The volume is192 cubic inches.

a.

EXAMPLE 1 Finding Volumes of Prisms

V = Bh

= 60

ANSWER The volume is 60 cubic meters.

Base is a triangle with area bh.12

(4)(3)(10)12=

b.

EXAMPLE 2 Finding the Volume of a 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.

Find the volume of the cylinder.

254.469≈ Evaluate using a calculator.

EXAMPLE 2 Finding the Volume of a Cylinder

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

ANSWER The volume is 288 cubic millimeters.

2.

GUIDED PRACTICE for Examples 1 and 2

ANSWER The volume is about 70.7 cubic inches

3.