Chapter Review
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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 | Faces | Edges |
|---|---|---|
| Rectangular Prism | EHGF, ABCD, ADHE, DCGH, CBFG, ABFE | EH, HG, GF, FE, AE, DH, CG, BF, AD, DC, CB, AB |
We want to identify the figure from the exercise. 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. |
Examining the given solid, we can see that it meets this definition.
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 faces and edges.
| Faces | Edges |
|---|---|
| EHGF, ABCD, ADHE, DCGH, CBFG, ABFE | EH, HG, GF, FE, AE, DH, CG, BF, AD, DC, CB, AB |