# 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?