Transcript Volumes of Prisms and Cylinders

Volumes of Prisms and Cylinders
12-4
Volumes of Prisms
• Volume is the space that a figure occupies. It is
measured in cubic units.
• How many cubic feet are there in a cubic yard?
• How many cubic inches are there in a cubic foot?
In a cubic yard?
Cavalieri’s Principle
• If two space figures have the same height and
the same cross-sectional area at every level, then
they have the same volume.
Volume of a Prism
• The volume of a prism is the product of the area
of a base (B) and the height (h) of the prism.
• V=Bh
B
h
Examples
13 cm
10 cm
30 cm
• Find the LA, SA and Volume.
Example 2
• Find the LA, SA and volume.
10 in
8 in
8 in
8 in
Volumes of Cylinders
• The volume of a cylinder is the product of the
area of a base (B) and the height (h) of the
cylinder.
• V=Bh
B
r
h
Example
• Find the LA, SA and Volume.
203 ft
25 ft
Joke Time
• What do you g
Joke time
• Knock, knock
• Tad
• Tad’s all folks!