Solid Geometry

Solid Geometry is the geometry of three-dimensional space,
the kind of space we live in ...

Three Dimensions

It is called three-dimensional, or 3D because there are three dimensions: width, depth and height.

 

 

Simple Shapes

Let us start with some of the simplest shapes:


Common 3D Shapes

Properties

Solids have properties (special things about them), such as:

Polyhedra and Non-Polyhedra

There are two main types of solids, "Polyhedra", and "Non-Polyhedra":

Polyhedra :
(they must have flat faces)
hexahedron square prism Cubes and
Cuboids (Volume
of a Cuboid
)
tetrahedron hexahedron octahedron dodecahedorn icosahedron Platonic Solids
triangular prism square prism pentagonal prism Prisms
triangular pyramid square pyramid pentagonal pyramid Pyramids
   
Non-Polyhedra:
(if any surface is not flat)
sphere Sphere torus Torus
cylinder Cylinder cone Cone

Euler's Theorem