10-6 Three-Dimensional Figures

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Problem of the DayProblem of the Day

Learn to name three-dimensional figures.

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10-6 Three-Dimensional Figures

Vocabularypolyhedronfaceedgevertexprismbasepyramidcylindercone

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10-6 Three-Dimensional Figures

A ___________________ is a three-dimensional object, or solid figure, with flat surfaces, called ____________, that are polygons.

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

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10-6 Three-Dimensional Figures

Additional Example 1: Identifying Faces, Edges, and Vertices

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

A.

B.

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10-6 Three-Dimensional Figures

Check It Out: Example 1

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

A.

B.

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10-6 Three-Dimensional Figures

A _____________ is a polyhedron with two congruent, parallel ____________, and other faces that are all parallelograms. A prism is named for the shape of its bases. A ______________ 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.

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10-6 Three-Dimensional Figures

A ______________ has one polygon shaped base, and the other faces are triangles that come to a point. A pyramid is named for the shape of its base. A ____________ has a circular base and a curved surface that comes to a point. A cones is not a polyhedron because not every surface is a polygon.

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10-6 Three-Dimensional Figures

The point of a cone is called its ________________.

Helpful Hint

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10-6 Three-Dimensional Figures

Additional Example 2A: Naming Three-Dimensional Figures

Name the three-dimensional figure represented by the object.

The figure is __________ a polyhedron.

There is a ____________ surface.

The figure represents a _________________.

There are two congruent, parallel bases.

The bases are ___________.

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10-6 Three-Dimensional Figures

Additional Example 2B: Naming Three-Dimensional Figures

Name the three-dimensional figure represented by the object.

The figure _____ a polyhedron.

All the faces are flat and are polygons.

The figure is a ___________________ pyramid.

There is one base and the other faces are triangles that meet at a point, so the figure is a pyramid. The base is a _______________.

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10-6 Three-Dimensional Figures

Additional Example 2C: Naming Three-Dimensional Figures

Name the three-dimensional figure represented by the object.

The figure ______ a polyhedron.

All the faces are flat and are polygons.

The figure is a ______________________ prism.

There are two congruent, parallel bases, so the figure is a prism. The bases are __________________.

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10-6 Three-Dimensional Figures

Check It Out: Example 2A

Name the three-dimensional figure represented by the object.

The figure ____ a polyhedron.

All the faces are flat and are polygons.

The figure is a ______________ pyramid.

There is one base and the other faces are triangles that meet at a point, so the figure is a pyramid. The base is a _______________.

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10-6 Three-Dimensional Figures

Check It Out: Example 2B

Name the three-dimensional figure represented by the object.

The figure _____ a polyhedron.

All the faces are flat and are polygons.

The figure is a ____________________ prism.

There are two congruent, parallel bases, so the figure is a prism. The bases are ___________________.

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10-6 Three-Dimensional Figures

Check It Out: Example 2C

Name the three-dimensional figure represented by the object.

The figure is _____ a polyhedron.

There is a ____________ surface.

The figure represents a _____________.

There are two congruent, parallel bases.

The bases are ____________.

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10-6 Three-Dimensional Figures

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

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10-6 Three-Dimensional Figures