Volume of Prisms and Cylinders

1
Volume of Prisms and Cylinders
2
Volume of Prisms and Cylinders

• Volume The volume of a figure is the measure of
  the amount of space that a figure encloses.
  Volume is measured in cubic units.

3
Volume of Prisms and Cylinders

• Volume of a Prism
• If a prism has a volume of V cubic units, a
  height of h units, and each base has an area of B
  square units, then
• V Bh

4
Example 1-1b
Find the volume of the triangular prism.
5
Example 1-2c
The weight of water is 62.4 pounds per cubic
foot. How many pounds of water would fit into a
back yard pond that is rectangular prism 3 feet
deep, 7 feet wide, and 12 feet long?
Answer 15,724.8 lb
6
Volume of Prisms and Cylinders

• Volume of a Cylinder
• If a cylinder has a volume of V cubic units, a
  height of h units, and the bases have radii of r
  units, then
• V B h ? r2 h

7
Example 1-3d
Answer
8
Example 1-4b
Find the volume of the oblique cylinder to the
nearest tenth.
9
Volume of Prisms and Cylinders

• Cavalieris Principle
• If two solids have the same height and the same
  cross-sectional area at every level, then they
  have the same volume.