Notes Three-Dimensional Figures
How Can You Classify Three-Dimensional Figures?
You can classify three-dimensional figures based on information about their faces, bases, edges,
and vertices. Three-dimensional figures include prisms and pyramids, as well as figures with
curved surfaces.
A prism is a three-dimensional figure with two parallel, congruent bases. The bases, which are
also two of the faces, can be any polygon. The other faces are rectangles. A prism is named
according to the shape of its bases.
A pyramid is a three-dimensional figure with only one base. The base can be any polygon. The
other faces are triangles. A pyramid is named according to the shape of its base.
Here are some three-dimensional figures with which you should be familiar:
Prisms & Pyramids
Type Examples Properties
● 5 faces
2 triangular bases
Triangular Prism 3 rectangular faces
● 9 edges
● 6 vertices
● 6 faces
2 rectangular bases
Rectangular Prism 4 rectangular faces
● 12 edges
● 8 vertices
● 6 faces
2 square bases
Cube 4 square faces
● 12 edges
● 8 vertices
● 5 faces
1 square base
Square Pyramid 4 triangular faces
● 8 edges
● 5 vertices
● 4 faces
1 triangular base
Triangular Pyramid 3 triangular faces
● 6 edges
● 4 vertices
You should also be familiar with three-dimensional figures that have curved surfaces. These
figures include cylinders, cones, and spheres. You can classify these three-dimensional figures
based on information about their bases and surfaces.
Three Dimensional Figures with Curved Surfaces
Type Example Properties
● 2 circular bases
● 1 curved surface
Cylinder
● 1 circular base
● 1 curved surface
● 1 vertex
Cone
● 1 curved surface
Sphere