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EXAMPLE 1

a. b. Identify and name polyhedra. EXAMPLE 1. Tell whether the solid is a polyhedron. If it is, name the polyhedron and find the number of faces, vertices, and edges. c.

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EXAMPLE 1

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  1. a. b. Identify and name polyhedra EXAMPLE 1 Tell whether the solid is a polyhedron. If it is, name the polyhedron and find the number of faces, vertices, and edges.

  2. c. The solid is formed by polygons, so it is a polyhedron. The two bases are congruent rectangles, so it is a rectangular prism. It has 6 faces, 8 vertices, and 12 edges. a. Identify and name polyhedron EXAMPLE 1 SOLUTION

  3. b. The solid is formed by polygons, so it is a polyhedron. The base is a hexagon, so it is a hexagonal pyramid. It has 7 faces, consisting of 1 base, 3 visible triangular faces, and 3 non-visible triangular faces. The polyhedron has 7 faces, 7 vertices, and 12 edges. c. The cone has a curved surface, so it is not a polyhedron. Identify and name polyhedron EXAMPLE 1

  4. 1. ANSWER The solid is formed by polygons so it is a polyhedron. The base is a square it has 5 faces, 5 vertices and 8 edges. for Example 1 GUIDED PRACTICE Tell whether the solid is a polyhedron. If it is, name the polyhedron and find the number of faces, vertices, and edges.

  5. 2. ANSWER It has a curved square, so it is not a polyhedron. for Example 1 GUIDED PRACTICE

  6. 3. ANSWER The solid is formed by polygons, so it is a polyhedron. The base is a triangle, so it is a triangular prism. It has 5 face, 6 vertices, and 9 edges. for Example 1 GUIDED PRACTICE

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