Convex Pentagonal Prism Net

The net makes an oblique pentagonal prism with the stated volume and surface area, relative to the unit shown. The x's mark the projection of where the top will be in the plane of the base, and the red X controls that position. The height is adjustable by the slider marked H. Adjust the base by moving the blue vertices. Have fun!

Note that if you're printing out to fold it up, it's easier if you leave tabs on some of the sides to help with taping.

Posted at mathhombre.blogspot.com

Extension: where do you position the red X to make a right prism? What effect does that have on the net?

John Golden, Created with GeoGebra