polyhedrons an introduction to 3d figures. what is a polyhedron? 3 dimensional figure formed by...
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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?
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