Pentahedron

Pronunciation: /ˌpɛntəˈhidrən/ Explain

Square pyramid with a square base and sloping triangular sides that come to a point on top.
Figure 1: Square pyramid. Image courtesy Wikipedia.org.

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Manipulative 1: Triangular Prism Created with GeoGebra.

A pentahedron is a five sided polyhedron. There is no regular pentahedron. There are two pentahedrons that can exist in Euclidean 3-space. One is a square pyramid (see figure 1). The other is a triangular prism. Click on the blue points in manipulative 1 and drag them to change the figure.

Geometric Nets

A geometric net is a shape that can exist in 2-space, which can be folded into a polyhedron. Click on the name of the net to download a printable net you can cut out and decorate.

Pentahedron Nets
ImageNameDescription
Net of a triangular prism. Triangular Prism A triangular prism has identical triangles as base and top with straight sides.
Net of a square pyramid. Square Pyramid A square pyramid has a square bases with straight sides that come to a point.
Table 1

Irregular Pentahedron Net

Manipulative 1 is an irregular pentahedron net you can change, print out, and put together. Click on the blue points to change the net. If any part of the net disappears or any of the lines cross, you have created a net that can not be constructed.

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Manipulative 1: Irregular Pentagon Net. Created with GeoGebra.

More Information

  • McAdams, David E.. Polyhedron. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 3/12/2009. http://www.allmathwords.org/en/p/polyhedron.html.

Cite this article as:

McAdams, David E. Pentahedron. 8/7/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/pentahedron.html.

Image Credits

Revision History

8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
9/25/2008: Initial version. (McAdams, David E.)

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