Solid Geometry

3d shapes

 

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.

   3d height width depth

Simple Shapes

Let us start with some of the simplest shapes:

shapes thumbnail
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):

cube or hexahedron square prism Cubes and
Cuboids (Volume
of a Cuboid)
tetrahedron cube or hexahedron octahedron dodecahedron icosahedron Platonic Solids
triangular prism square prism pentagonal prism Prisms
triangular pyramid square pyramid pentagonal pyramid Pyramids

Non-Polyhedra (when any surface is not flat):

sphere Sphere   torus Torus
cylinder Cylinder   cone Cone

 

 

Geometry Polyhedron Platonic Solids