Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by...
-
Upload
sylvia-blankenship -
Category
Documents
-
view
218 -
download
1
Transcript of Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by...
![Page 1: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/1.jpg)
PolyhedronsAn introduction to 3D Figures
![Page 2: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/2.jpg)
What is a polyhedron?
3 Dimensional figureFormed by polygonsTakes up space
![Page 3: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/3.jpg)
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
![Page 4: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/4.jpg)
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
![Page 5: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/5.jpg)
Pyramids
Only one base
Base determines type of pyramid
Has faces that meet at a common vertexes
Faces are always triangles
![Page 6: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/6.jpg)
Practice
Identify the figure.
Name the bases.
Name the lateral faces.
Name the edges.
Name an altitude.
![Page 7: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/7.jpg)
Practice
Identify the figure.
Name the bases.
Name the lateral faces.
Name the edges.
Name an altitude.
![Page 8: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/8.jpg)
Practice
Identify the figure.
Name the bases.
Name the lateral faces.
Name the edges.
Name an altitude.
![Page 9: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/9.jpg)
Curved Surface SolidsAn Introduction to Cylinders, Cones, and Spheres
![Page 10: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/10.jpg)
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
![Page 11: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/11.jpg)
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
![Page 12: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/12.jpg)
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
![Page 13: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/13.jpg)
Cylinder or not?
![Page 14: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/14.jpg)
Cylinder or not?
![Page 15: Polyhedrons An introduction to 3D Figures. What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space.](https://reader034.fdocuments.us/reader034/viewer/2022051618/56649f565503460f94c79c12/html5/thumbnails/15.jpg)
Cylinder or not?