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 9 faces. These are the quadrilaterals ABIH, BCJI, CDKJ, DELK, EFML, FGNM , and GAHE, and the heptagons ABCDEFG and HIJKLMN. Next, recall that an edge is a segment that is formed by the intersection of two faces.
We can see that our polyhedron has 21 edges. These are A H, B I, C J, D K, E L, F M, GN, A B, B C, C D, D E, E F, F G, GA, H I, I J, J K, K L, L M, M N, and NH. Finally, recall that a vertex is a point where three or more edges intersect.
Our polyhedron has 14 vertices. These include A, B, C, D, E, F, G, H, I, J, K, L, M, and N. Let's summarize our results!
Faces (9)
Edges (21)
Vertices (14)
Quadrilaterals: ABIH, BCJI, CDKJ, DELK, EFML, FGNM , and GAHE, Heptagons: ABCDEFG and HIJKLMN
A H, B I, C J, D K, E L, F M, GN, A B, B C, C D, D E, E F, F G, GA, H I, I J, J K, K L, L M, M N, and NH
