how do we identify solids?

How Do We Identify Solids?

 

Solid Geometry

The geometry of 3 dimensional space

-3 dimensions (3D)- width, depth, and height

 

 

 

 

http://www.gotoandplay.it/_articles/2004/07/3dCube/cube.gif

 

 

Properties

Solids have properties such as:

-volume (think of how much water it could hold)

- surface area (thinks of the area you would have to paint)

 

Two types of solids, "polyhedral", and "non-polyhedral"

 

Polyhedra

They must have flat faces

 

Prism

Has the same cross section all along it's length

http://www.mathsteacher.com.au/year7/ch09_polygons/06_polyhedra/Image11220.gif

 

 

 

Pyramids

 

 

http://www.mathsisfun.com/geometry/images/pyramid-height-perimeter.jpg

 

 

Non- Polyhedra

Any surface that isn't flat

examples:

 

Sphere

 

http://etc.usf.edu/clipart/41700/41749/FC_Sphere_41749_lg.gif

 

 

 

 

 

Torus

 

 

 http://www.math.cornell.edu/~mec/2003-2004/geometry/torii/torus.jpg

 

 

Cylinders

 

http://upload.wikimedia.org/wikipedia/commons/thumb/3/36/Circular_cylinder_rh.svg/220px-Circular_cylinder_rh.svg.png

 

 

 

 

 

Cone

 

http://accad.osu.edu/~pgerstma/class/vnv/resources/info/AnnotatedVrmlRef/Images/Cone.gif

 

 

Cross sections

The shape you get when cutting straight across an object

 

 

Surface Area

Area of the bases + lateral area (area of the sides)