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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.
Faces: 8
Edges: 18
Vertices: 12
A polyhedron is a space figure, — a three-dimensional figure — whose surfaces are polygons. Each polygon is a face of the polyhedron.
We can see that our polyhedron has 18 edges. These are A G, A B, G H, B H, B C, H I, C I, C D, I J, D J, D E, J K, E K, E F, K L, F L, L G, and F A. Finally, recall that a vertex is a point where three or more edges intersect.
Our polyhedron has 12 vertices. These include A, B, C, D, E, F, G, H, I, J, K, and L. Let's summarize our results!
| Faces (8) | Edges (18) | Vertices (12) |
|---|---|---|
| Quadrilaterals: ABHG, BCIH, CDJI, DEKJ, EFLK, FLGA, Hexagons: ABCDEF and GHIJKL. | A G, A B, G H, B H, B C, H I, C I, C D, I J, D J, D E, J K, E K, E F, K L, F L, L G, and F A. | A, B, C, D, E, F, G, H, I, J, K, and L. |