Geo Unit 5 - Volume of Pyramids vs Prisms

Which will have a bigger volume (hold more water)?

• The pyramid (pointed)

• The Prism

Get out your volume packet (coral) and go to page 17

• I have my packet out!

• I didn't get a coral packet, I'll ask the teacher for one

• I don't have it with me today but I will grab a piece of paper to write on.

How many pyramids will it take to fill up the prism?

How many pyramids did it take to fill up the prism?

• 1

• 2

• 3

• 4

How many TRIANGULAR pyramids (the base is a triangle) will it take to fill up the triangular prism?

• 1

• 2

• 3

• 6

How many CONES will it take to fill up the CYLINDER?

• 1

• 2

• 3

It took 3 to fill it up again! Do you think this will always be true when we compare pyramids to prisms with the same base? Why or why not?

It took 3 again! Explain how we could use the VOLUME of the cylinder to find the VOLUME of the cone.

Go to page 17 in your coal packet. The first question says

"Consider a cone and cylinder that have the exact same base(shape) and height. Which would hold more water? Click AND WRITE DOWN the correct answer.

• Cone

• Cylinder

• They're the same

• Not enough info

Question 2 on page 17 says "a cone and cylinder have the exact same height and radius. The volume of the CYLINDER is 99 cubic inches. What would be the volume of the cone?"

Consider that it takes THREE CONES to fill up the full volume of the cylinder. Click and write down the correct answer.

• The cones volume would be 33 cubic inches

• The cones volume would be 297 cubic inches

• The cones volume would be 99 cubic inches

• Not enough info