Volumes of Prisms and Cylinders12-4

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

•Find the LA, SA and Volume.

13 cm

10 cm30 cm

Example 2

•Find the LA, SA and volume.

10 in

8 in8 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 r

h

B

Example

•Find the LA, SA and Volume.

25 ft

203 ft

Joke Time

•What do you g

Joke time

•Knock, knock

•Tad

•Tad’s all folks!