Transcript XXXIX. Volume of Prisms and Cylinders

7.3 VOLUME OF PRISMS
AND CYLINDERS
Find the volumes of prisms and cylinders.
Volume


# of cubic units it takes to fill a three
dimensional shapes
Units will be cubed
To
the third power
Prism
Solid with two parallel and congruent polygonal
faces called bases.
 Named by the shape of its base.

Volume of Prisms
V = Bh
 “B” is the AREA of the base

Example

Find the volume of the triangular prism.
V = Bh
1
 V = (2 bh) h
1
 V =( • 4 • 9) 10
2
 V = (2 • 9) 10
 V = (18) 10
3
 V = 180 cm

You Try!
Find the volume of the cylinder.
 V =Bh
2
 V =  r h
2

16


5
.
5
V =
 V = 30 . 25  16


V = 484  cm3

This answer is in terms of pi
Assignment

Odds p. 266 #5-19, 23