Volumes of Prisms and Cylinders

1
Volumes of Prisms and Cylinders

• 6.4

2
Definitions

• Volume is the space that a figure occupies. It
  is measured in cubic inches (in3) cubic feet
  (ft3) or cubic centimeters (cm3)

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6.5 Cavalieris Principle

• If two spaces have the same height and the same
  cross sectional area at every level then they
  have the same volume
• Each of the shapes has a height of 7

2
2
2
6
3
3
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Volume of a Prism

• The volume of a prism is the product of the area
  of the base and the height of the prism
• V Bh

• V BH
• Base 5(6) 30
• H 2
• V 30 (2)
• V 60

2
6
5
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Volume of a Cylinder

• The volume of a cylinder is the product of the
  area of the base and the height of the cylinder
• V Bh or V ? r2h

• Find the Volume
• V?624
• ? 36(4)
• 144 ?

4
6
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Homework

• P 327 1-18