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 7 faces. These are the quadrilaterals ABGF, BCHG, CDIH, DEJI, and EAFJ, and the pentagons ABCDE and FGHIJ. Next, recall that an edge is a segment that is formed by the intersection of two faces.
We can see that our polyhedron has 15 edges. These are AB, BC, CD, DE, EA, GH, HI, IJ, JF, FG, AF, BG, CH, DI, and EJ. Finally, recall that a vertex is a point where three or more edges intersect.
Our polyhedron has 10 vertices. These include A, B, C, D, E, F, G, H, I, and J. Let's summarize our results!
Faces (7)
Edges (15)
Vertices (10)
Quadrilaterals: ABGF, BCHG, CDIH, DEJI, and EAFJ, Pentagons: ABCDE and FGHIJ
AB, BC, CD, DE, EA, GH, HI, IJ, JF, FG, AF, BG,CH, DI, and EJ
