Volume of Pyramids and Cones

[size=150]Use the sliders on the left side of the GeoGebra file to manipulate different characteristics of the prism, pyramid, cylinder, and cone.[br][br][/size][size=150]PSide: Adjusts the side length of the base of the prism and pyramid.[br]PHeight: Adjusts the height of the prism and pyramid.[br]CRadius: Adjusts the radius of the base of the cylinder and cone.[br]CHeight: Adjusts the height of the cylinder and cone.[br][br][/size][size=150]Do you notice any relationships between any of the figures?[/size]
[size=150]Discuss the following questions with a partner or small group:[br][br]1. What were some things that you noticed while manipulating the figures in the GeoGebra file?[br][br]2. Can you use the GeoGebra file to create a formula that can be used to calculate the volume of a pyramid?[br][br]3. Can you use the GeoGebra file to create a formula that can be used to calculate the volume of a cone?[br][br]4. Does the GeoGebra file support your findings? Why or why not? Prepare an argument for your findings using mathematical language.[br][br]5. Can your findings be applied to all pyramids and cones? Why or why not? How do you know?[br][br]6. What out-of-school situations could you apply your findings to? Think of 3-4 examples per group.[br][/size]

Information: Volume of Pyramids and Cones