You will need
• pipe cleaners or
11.6
Polyhedron Faces, Edges,
straws
• modelling clay
and Vertices
GOAL
Determine how the number of faces, edges, and vertices of a polyhedron are related.
Learn about the Math
Toma and Benjamin noticed that whenever you make a 2-D polygon, the
number of vertices is the same as the number of edges. They wondered
whether the number of faces, vertices, and edges of 3-D polyhedrons are
related.
?
What pattern links the number of faces, edges, and
vertices of a polyhedron?
Benjamin tried building an unusual polyhedron first. “I’ll start building it
from the top. The number of
vertices
and number of
edges
are the same,
and there is one face.”
Part built
Number of faces
Number of vertices
Number of edges
top
1
4
4
390
NEL
Chapter 11