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 6 faces. All of them are quadrilaterals ABCD, ABFE, DCGH, EFGH, CGFB, and AEHD. Next, recall that an edge is a segment that is formed by the intersection of two faces.
We can see that our polyhedron has 12 edges. These are A B, B C, C D, D A, E A, EF, F B, GF, GH, HE, HD and GC. Finally, recall that a vertex is a point where three or more edges intersect.
Our polyhedron has 8 vertices. These include A, B, C, D, E, F, G, and H. Let's summarize our results!
Faces (6)
Edges (12)
Vertices (8)
ABCD, ABFE, DCGH, EFGH, CGFB, and AEHD
A B, B C, C D, D A, E A, EF, F B, GF, GH, HE, HD and GC
