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

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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. - PowerPoint PPT Presentation

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Page 1: EXAMPLE 1

EXAMPLE 1

Tell whether the solid is a polyhedron. If it is, name the polyhedron and find the number of faces, vertices, and edges.

a. b.

Identify and name polyhedra

Page 2: EXAMPLE 1

EXAMPLE 1 Identify and name polyhedron

c.

SOLUTION

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.

Page 3: EXAMPLE 1

EXAMPLE 1

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.

b.

The cone has a curved surface, so it is not a polyhedron.

c.

Identify and name polyhedron

Page 4: EXAMPLE 1

GUIDED PRACTICE for Example 1

Tell whether the solid is a polyhedron. If it is, name the polyhedron and find the number of faces, vertices, and edges.

1.

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.

ANSWER

Page 5: EXAMPLE 1

GUIDED PRACTICE for Example 1

2.

It has a curved square, so it is not a polyhedron.

ANSWER

Page 6: EXAMPLE 1

GUIDED PRACTICE for Example 1

3.

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.

ANSWER

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