Ch.11-2 Volume: Prisms and Cylinders

Classify the 3-Dimesional Figures

1. 2.

3. 4.

Volume

!  Volume is the measure of space occupied by a solid.

!  For both prisms and cylinders there is a formula to calculate volume.

!  When calculating volume use the formula method

1.  Write the formula 2.  Substitute 3.  Do the math Let�s look at an example…

Volume of a Prism

!  Simply stated the volume of a prism is the length x width x height.

!  However, if you look at the formula you will see that: V = Bh Where B is base and h is height

!  In this formula the B represents length x width. !  Let�s look at an example…

Volume of a Prism

V = Bh V = (l · w)h V = (4 ·2)7.5 V = 8 · 7.5 V = 60 in3

7.5 in

2 in 4 in

Your Turn

!  In the notes section of your notebook draw the figure and calculate volume

1.

25 m

8 m

16 m

Volume of Cylinders

!  The formula for the volume of a cylinder is: V = πr2h

!  πr2 represents the area of the ends of the cylinder

!  Let�s look at an example

Volume of a Cylinder

V = πr2h V = (3.14)(52)(15) V = (3.14)(25)(15) V = (3.14)(375) V = 1177.5 ft3

5 Ft

15 Ft

Your Turn

!  In the notes section of your notebook draw the figure, and then calculate volume

1. 7 m

14 m

Summary

!  In the notes section of your notebook summarize the key concepts covered in today�s lesson

!  Today we discussed !  Volume of prisms and cylinders ! What strategy will you use to calculate the

volume?