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EXAMPLE 1 Classifying Solids Classify the solid. Tell whether it is a polyhedron. The solid has two congruent circular bases that lie in parallel planes, so it is a cylinder. It is not a polyhedron, because circles are not polygons.

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**Counting Faces, Edges, and Vertices**

EXAMPLE 2 Counting Faces, Edges, and Vertices Classify the solid. Then count the number of faces, edges, and vertices. Remember to include the base when counting faces. SOLUTION The solid is a pentagonal pyramid.

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EXAMPLE 3 Sketching a Solid Show two ways to represent a triangular prism. METHOD 1 Sketch the solid. STEP 1 STEP 2 STEP 3 Sketch two congruent bases Connect the vertices. Make any hidden lines dashed

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EXAMPLE 3 Sketching a Solid METHOD 2 Sketch the top, front, and side views of the solid.

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GUIDED PRACTICE for Examples 1, 2 and 3 Classify the solid. Then tell whether it is a polyhedron. 1. All the faces of the solid are triangles. It is a polyhedron and it is a triangular pyramid. ANSWER 2. It is a solid with one circular base. It is a cone and not a polyhedron. ANSWER

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GUIDED PRACTICE for Examples 1, 2 and 3 Classify the solid. Then tell whether it is a polyhedron. 3. It is an octagonal prism. It has octagonal and rectangular faces. It is polyhedron. ANSWER

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GUIDED PRACTICE for Examples 1, 2 and 3 Show two ways to represent a rectangular pyramid. Then count the number of faces, edges, and vertices. 4. 5 faces, 8 edges, 5 vertices; ANSWER

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