1. Volume of Prisms and Cylinders

2. 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 = B*h

4. Example 1-1b Find the volume of the triangular prism. Answer:

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 =  * r 2 * h

7. Example 1-3d Answer: Find the volume of each cylinder to the nearest tenth. a. b.

8. Example 1-4b Find the volume of the oblique cylinder to the nearest tenth. Answer:

9. Volume of Prisms and Cylinders Cavalieri’s Principle If two solids have the same height and the same cross-sectional area at every level, then they have the same volume.