1. Volume of Pyramids and Cones

2. Investigate the Volume of a pyramid
You know how to find the volume of a prism.
Now we are going to investigate the volume of a pyramid.
Consider a prism of size 4 x 4 x 4 in. and a pyramid of the same base and height.

3. Imagine you filled the inverted pyramid with water and pour the water into the prism.
The animation crew will show the animation of pouring the first pyramid full of water into the prism. 3

4. Notice that 3 pyramids full of water will fill the prism.
This will show the animation of pouring the second and third pyramid full of water into the same prism. 4

5. Observation and Conclusion
From the above observation, what can you deduce concerning the volume of the pyramid compare to the prism.
The volume of the pyramid is how many times the volume of the prism.
Remember the volume of a prism is
Length x width x height
Hence the volume of pyramid is 
1/3 length x width x height.

6. Reflections
PRISM
CYLINDER
PYRAMID
CONE
Volume

7. Reflections PRISM CYLINDER PYRAMID CONE Volume BA X HT l x w x h πr2h

8. A 4 Volume of Pyramid and cones