A polyhedron is a space figure — a three-dimensional figure — whose surfaces are polygons. Each polygon is a face of the polyhedron. An edge is a segment that is formed by the intersection of two faces and a vertex is a point where three or more edges intersect.
Our polyhedron has 5 faces. These are the quadrilaterals SXRY, TYRW, and STWX, and the triangles STY and XWR. 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: ST, TY, YS, RX, XW, WR, XS, TW, and YR. 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: SXRY, TYRW, and STWX Triangles: STY and XWR
