Solid Geometry

Solid Geometry is the geometry of three-dimensional space,
the kind of space we live in ...
3d shapes

Three Dimensions

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

  3d height width depth

Simple Shapes

Let us start with some of the simplest shapes:

shapes thumbnail
Common 3D Shapes


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
(when any surface is not flat)
sphere Sphere torus Torus
cylinder Cylinder cone Cone

Polyhedron Models

Vertices, Faces, and Edges

Cone vs Sphere vs Cylinder

Euler's Theorem