A polyhedron is a space figure — a three-dimensional figure — whose surfaces are polygons. Each polygon is a face of the polyhedron.

Our polyhedron has $5$ faces. These are the quadrilaterals $S X R Y,$ $T Y R W,$ and $S T W X,$ and the triangles $S T Y$ and $X W R .$ Next, recall that an edge is a segment that is formed by the intersection of two faces.

We can see that our polyhedron has $9$ edges: $\overline{S T},$ $\overline{T Y},$ $\overline{Y S},$ $\overline{R X},$ $\overline{X W},$ $\overline{W R},$ $\overline{X S},$ $\overline{T W},$ and $\overline{Y R} .$ Finally, recall that a vertex is a point where three or more edges intersect.

Our polyhedron has $6$ vertices, $S,$ $T,$ $Y,$ $R,$ $X,$ and $W .$ Let's summarize our results!

Faces $(5)$	Edges $(9)$	Vertices $(6)$
Quadrilaterals: $S X R Y,$ $T Y R W,$ and $S T W X$ Triangles: $S T Y$ and $X W R$	$\overline{S T},$ $\overline{T Y},$ $\overline{Y S},$ $\overline{R X},$ $\overline{X W},$ $\overline{W R},$ $\overline{X S},$ $\overline{T W},$ and $\overline{Y R}$	$S,$ $T,$ $Y,$ $R,$ $X,$ and $W$

Exercise