الخميس، 9 يونيو 2016

Solid Geometry



Cube (Hexahedron) Facts

Notice these interesting things:
It has 6 Faces
Each face has 4 edges (and is a square)
It has 12 Edges
It has 8 Vertices (corner points)
and at each vertex 3 edges meet
It is one of the Platonic Solids


Cube Model Template
cut out the shape and glue it together.


A cuboid is a box-shaped object.
It has six flat faces and all angles are right angles.
And all of its faces are rectangles.
It is also a prism because it has the same cross-section along a length. In fact it is a rectangular prism.


Sphere Facts
Notice these interesting things:
Sphere Radius
  • It is perfectly symmetrical
  • All points on the surface are the
    same distance from the center
  • It has no edges or
    vertices (corners)
  • It is not a polyhedron



Notice these interesting things:
  • It has a flat base
  • It has one curved side
  • It is not a polyhedron as it
    has a curved surface

Cylinder Facts
Notice these interesting things:
  • It has a flat base and a
    flat top
  • The base is the same as
    the top, and also in-between
  • It has one curved side
  • It is not a polyhedron as it
    has a curved surface

Pyramids

Great Pyramids of Egypt
Pyramid Outlined
When we think of pyramids we think of the Great Pyramids of Egypt.
They are actually Square Pyramids, because their base is a Square


Parts of a Pyramid

Pyramid Base and Apex
A pyramid is made by connecting a base to an apex

Types of Pyramids

There are many types of Pyramids, and they are named after the shape of their base.
 PyramidBase 
Triangular
Pyramid:
Triangular PyramidTriangle
Square
Pyramid:
Square PyramidSquare
Pentagonal
Pyramid:

Pentagonal Pyramid
Pentagon

Right vs Oblique Pyramid

This tells us where the top (apex) of the pyramid is. When the apex is directly above the center of the base it is a Right Pyramid, otherwise it is an Oblique Pyramid.


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