PolyhedronsAn introduction to 3D Figures

What is a polyhedron?

3 Dimensional figureFormed by polygonsTakes up space

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

Prisms

Has two bases Polygons Congruent Parallel

Faces Connect the bases Height is the altitude

(perpendicular distance between the bases)

Right Prisms Faces are perpendicular to the

bases Height=altitude= perpendicular

distance

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

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 SolidsAn Introduction to Cylinders, Cones, and Spheres

Cylinder

Define

Bases Congruent Parallel Circles

If line connecting the bases is perpendicular to the bases, then it is a right cylinder, if not, its oblique.

Parts

Axis (Altitude)

Radius

Cone

Define

Has one circular base

Lateral surface meets at a vertex called an apex

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

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

Parts

Apex

Radius

Altitude

Base

Sphere

Define:

A set of all points from a given point in space.

How is that different from a circle?

Parts

Center

Radius

Hemisphere

Great Circle

Cylinder or not?

Cylinder or not?

Cylinder or not?