Volume of a Polyhedron Given by a Particular Net

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

From each of three unit squares, an isosceles right triangle with legs of length 1/2 is cut off. These figures together with a regular hexagon form a net of a polyhedron. What is the volume of the polyhedron?

Contributed by: Izidor Hafner (December 2015)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The polyhedron is one-half of a unit cube, so its volume is 1/2.

Reference

[1] G. Berzsenyi and S. B. Maurer, The Contest Problem Book V, Washington, DC: Mathematical Association of America, 1997 p. 165.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send