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 |
|---|---|---|---|---|
| Rectangular Prism | EHGF, ABCD | EHGF, ABCD, ADHE, DCGH, CBFG, ABFE | EH, HG, GF, FE, AE, DH, CG, BF, AD, DC, CB, AB | A, B, C, D, E, F, G, H |
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 rectangles, so it is a rectangular 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 |
|---|---|---|---|
| EHGF, ABCD | EHGF, ABCD, ADHE, DCGH, CBFG, ABFE | EH, HG, GF, FE, AE, DH, CG, BF, AD, DC, CB, AB | A, B, C, D, E, F, G, H |