ppt.ppt

Polyhedrons

An introduction to 3D Figures

What is a polyhedron?

3 Dimensional figure

Formed by polygons

Takes up space

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Parts of a polyhedron

Face:

The flat polygonal surfaces

“sides”

Edge

Where the faces meet

Line segments

Vertex

Point of intersection of three or more edges

Where line segments meet

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Prisms

Has two bases

Polygons

Congruent

Parallel

Faces

Connect the bases

Height is the altitude(perpendicular distance betweenthe bases)

Right Prisms

Faces are perpendicular to thebases

Height=altitude= perpendiculardistance

Oblique Prisms

Faces are NOT perpendicular

Pyramids

Only one base

Base determines type of pyramid

Has faces that meet at a common vertexes

Faces are always triangles

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Practice

Identify the figure.

Name the bases.

Name the lateral faces.

Name the edges.

Name an altitude.

Practice

Identify the figure.

Name the bases.

Name the lateral faces.

Name the edges.

Name an altitude.

Practice

Identify the figure.

Name the bases.

Name the lateral faces.

Name the edges.

Name an altitude.

Curved Surface Solids

An Introduction to Cylinders, Cones, and Spheres

Cylinder

Define

Bases

Congruent

Parallel

Circles

If line connecting the bases isperpendicular to the bases, then itis a right cylinder, if not, its oblique.

Parts

Axis (Altitude)

Radius

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Cone

Define

Has one circular base

Lateral surface meets at a vertexcalled an apex

Right Cone: when line from apex tobase is perpendicular to the base

Oblique Cone: Not perpendicular.Height is still the altitude.

Parts

Apex

Radius

Altitude

Base

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Sphere

Define:

A set of all points from a givenpoint in space.

How is that different from a circle?

Parts

Center

Radius

Hemisphere

Great Circle

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Cylinder or not?

Cylinder or not?

Cylinder or not?

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