10.6 Three- Dimensional

FiguresI can name three-dimensional figures

Vocabulary

polyhedron cylinderface pyramidedge conevertex sphereprismbase

A polyhedron is a three-dimensional object with flat surfaces, called faces, that are polygons.

When two faces of a three-dimensional figure share a side, they form an edge. A point at which three or more edges meet is a vertex (plural: vertices).

Identify the number of faces, edges, and vertices on each three-dimensional figure.

A.

B.

5 faces

8 edges

5 vertices

7 faces

15 edges

10 vertices

Identify the number of faces, edges, and vertices on each three-dimensional figure.

A.

B.

6 faces

12 edges

8 vertices

5 faces

9 edges

6 vertices

A prism is a polyhedron with two congruent, parallel bases, and other faces that are all parallelograms. A prism is named for the shape of its bases. A cylinder also has two congruent, parallel bases, but bases of a cylinder are circular. A cylinder is not a polyhedron because not every surface is a polygon.

A pyramid has one polygon-shaped base and three or more triangular faces that share a vertex. A pyramid is named for the shape of its base. A cone has a circular base and a curved surface that comes to a point. A sphere has no base and one curved surface. All points on the surface are the same distance from a point called the center of the sphere.

Name the three-dimensional figure

The figure represents a cylinder.

Name the three-dimensional figure represented by the object.

The figure is a rectangular prism.

Name the three-dimensional figure represented by the object.

The figure is a square pyramid.

Lesson Quiz

1. Identify the number of faces, edges, and vertices in the figure shown.

Identify the figure described.

2. two congruent circular faces connected by a

curved surface

3. one flat circular face and a curved lateral

surface that comes to a point

cylinder

8 faces, 18 edges, and 12 vertices

cone

2. Identify the figure described. A square base with four triangles that come to a point.

A. square prism B. square pyramid C. rectangular prismD. rectangular pyramid

Lesson Quiz for Student Response Systems

3. Identify the figure described. A hexagonal base with six triangles that come to a point.

A. hexagonal prism B. triangular prism C. hexagonal pyramid D. triangular pyramid

Lesson Quiz for Student Response Systems