1. Chapter 11.4 Volumes of Prisms and Cylinders

2. Finding the Volume of a rectangular prism

3. Vocabulary
Volume = the space that a figure occupies. It is measured in cubic units.

4. 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

5. Volume of a Prism
The volume of a prism is the product of the area of a base and the height of the prism

6. Example #1
Find the volume of the rectangular prism

7. Ex. 2: Finding Volumes A = ½ bh Area of a triangle A = ½ (3)(4)
Find the volume of the right prism.
A = ½ bh
Area of a triangle
A = ½ (3)(4)
Substitute values
A = 6 cm2
Multiply values -- base
V = Bh
Volume of a prism formula
V = (6)(2)
Substitute values
V = 12 cm3
Multiply values & solve

8. Example #2 Find the volume of the triangular prism
Which Surface is the Base of the prism?
What is the Height of the prism?

9. Volume of a Cylinder
The volume of a cylinder is the product of the area of the base and the height of the cylinder

10. Ex. 2: Finding Volumes A = r2 Area of a circle A = 82
Find the volume of the right cylinder.
A = r2
Area of a circle
A = 82
Substitute values
A = 64 in.2
Multiply values -- base
V = Bh
Volume of a prism formula
V = 64(6)
Substitute values
V = 384in.3
Multiply values & solve
V = in.3
Simplify

11. Example #3
Find the volume of the cylinder

12. Classwork 11.4 Volumes of Prisms and Cylinders