http://www.ck12.org Chapter 11. Surface Area and Volume
11.1 Polyhedrons
Here you’ll learn how to identify polyhedron and regular polyhedron and the connections between the numbers of
faces, edges, and vertices in polyhedron.
What if you were given a solid three-dimensional figure, like a carton of ice cream? How could you determine how
the faces, vertices, and edges of that figure are related? After completing this Concept, you’ll be able to use Euler’s
Theorem to answer that question.
Watch This
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/52630CK-12 Foundation: Chapter11PolyhedronsA
Learn more about 3-D Solid Properties by watching the video at this link.
Guidance
Apolyhedronis a 3-dimensional figure that is formed by polygons that enclose a region in space. Each polygon in a
polyhedron is called aface. The line segment where two faces intersect is called anedgeand the point of intersection
of two edges is avertex. There are no gaps between the edges or vertices in a polyhedron. Examples of polyhedrons
include a cube, prism, or pyramid. Non-polyhedrons are cones, spheres, and cylinders because they have sides that
are not polygons.
Aprismis a polyhedron with two congruent bases, in parallel planes, and the lateral sides are rectangles. Prisms
are explored in further detail in another Concept.