Big Ideas Math: Modeling Real Life, Grade 6
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Exercise 26 Page 336

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: 6
Edges: 10
Vertices: 6

Practice makes perfect

A polyhedron is a space figure, — a three-dimensional figure — whose surfaces are polygons. Each polygon is a face of the polyhedron.

Our polyhedron has 6 faces. These are the triangles ABF, BCF, CDF, DEF, EAF, and the pentagon ABCDE. Next, recall that an edge is a segment that is formed by the intersection of two faces.

We can see that our polyhedron has 10 edges. These are A B, B C, C D, D E, E A, F A, FE, DF, CF, and BF. Finally, recall that a vertex is a point where three or more edges intersect.

Our polyhedron has 6 vertices. These include A, B, C, D, E, and F. Let's summarize our results!

Faces (6) Edges (10) Vertices (6)
Triangles: ABF, BCF, CDF, DEF, EAF, and the Pentagon: ABCDE A B, B C, C D, D E, E A, F A, FE, DF, CF, and BF A, B, C, D, E, and F