 # 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.

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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 Find the LA, SA and Volume. 13 cm 10 cm 30 cm

Example 2 Find the LA, SA and volume. 10 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