# This or That: Rectangles?

Slide the slider in the app below and observe what happens. What do you notice? What are you wondering about? What other questions do you have about what happened in app below?

The two rectangles above are identical. What are some possible volumes for the two resulting cylinders?

What if I told you that each rectangle was twice as tall as it was wide. What are some possible volumes of the two resulting cylinders?

What if I told you the two resulting cylinders had equal volumes? What are the possible dimensions of the two rectangles? (the two rectangles are identical and are twice as tall as they are wide)

What if I told you one of the resulting cylinders had a voiume that was twice the volume of the other cylinder. What are the possible dimensions of the two rectangles? (the two rectangles are still identical and are still twice as tall as they are wide)