Presentation on theme: "EXAMPLE 1 Classifying Solids"— Presentation transcript:
1 EXAMPLE 1Classifying SolidsClassify 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.
2 Counting Faces, Edges, and Vertices EXAMPLE 2Counting Faces, Edges, and VerticesClassify the solid. Then count the number of faces, edges, and vertices.Remember to include the base when counting faces.SOLUTIONThe solid is a pentagonal pyramid.
3 EXAMPLE 3Sketching a SolidShow two ways to represent a triangular prism.METHOD 1Sketch the solid.STEP 1STEP 2STEP 3Sketch twocongruent basesConnect thevertices.Make any hiddenlines dashed
4 EXAMPLE 3Sketching a SolidMETHOD 2Sketch the top, front, and side views of the solid.
5 GUIDED PRACTICEfor Examples 1, 2 and 3Classify the solid. Then tell whether it is a polyhedron.1.All the faces of the solid are triangles. Itis a polyhedron and it is a triangular pyramid.ANSWER2.It is a solid with one circular base. It is a cone and not a polyhedron.ANSWER
6 GUIDED PRACTICEfor Examples 1, 2 and 3Classify 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
7 GUIDED PRACTICEfor Examples 1, 2 and 3Show two ways to represent a rectangular pyramid. Then count the number of faces, edges, and vertices.4.5 faces, 8 edges, 5 vertices;ANSWER