GEOM 1 | Lesson 3 | Try This! (Relationships with Volumes)

Try This!

Relationships with Volumes

Next question:

Now, you need to fill a vase (cylinder) that is 3 feet wide and 5 feet tall and calculate the amount of water needed to fill the vase.

Now, suppose you choose to fill up the vase with a glass in the shape of a cone with the same dimensions, 3 feet wide by 5 feet tall, as the cylindrical vase. The amount of water the cone holds is approximately equal to 11.78 ft³. So how many times would you need to fill the cone to fill up the vase?

Now draw a rectangular prism and a pyramid with the same dimensions. Hypothesize what the formula of a pyramid would be as it relates to the prism.

What is the connection between the prism and the pyramid compared to the cone and cylinder?


Go to Watch (Relationships with Volumes)