6. Cross Sections
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Are all the surfaces flat? What does this tell us about whether or not it is a polyhedron? What are the types of polyhedrons?
| Figure Name | Bases | Faces | Edges | Vertices |
|---|---|---|---|---|
| Triangular Prism | TVU, QSR | TVU, QSR, QTVS, SVUR, RUTQ | QT, TV, VS, QS, SR, VU, RU, QR, UT | Q,T,V,S,R,U |
Let's begin by reviewing the definition of a polyhedron.
|
A polyhedron is a solid composed of all flat surfaces that enclose a single region of space. |
Therefore, it is a polyhedron. Now, let's consider two types of polyhedrons.
The solid has two parallel congruent bases that are triangles, so it is a triangular prism. Let's recall the meaning of the features that we want to identify.
Now we can name its bases, faces, edges, and vertices.
| Bases | Faces | Edges | Vertices |
|---|---|---|---|
| TVU, QSR | TVU, QSR, QTVS, SVUR, RUTQ | QT, TV, VS, QS, SR, VU, RU, QR, UT | Q,T,V,S,R,U |