Oblique Pentagonal Prism

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.

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This was very fun to make, and I love that it can make convex or concave prisms.

Posted at mathhombre.blogspot.com

Extension: Can you make two pentagonal prisms that fit together to make a prism with fewer faces?

John Golden, Created with GeoGebra