Polyhedron
Definition of Polyhedron

• A Polyhedron is a space figure each of whose faces is a polygon.
• In other words, a Polyhedron is a solid shape whose faces are all polygons.

Examples of Polyhedron

• Cubes, prisms, and pyramids are polyhedra.

More about Polyhedron

• A regular Polyhedron is a Polyhedron in which all faces are regular polygons of the same shape and size.

Solved Example on Polyhedron

Name the Polyhedron that has 4 faces, 6 edges, and 4 vertices.
Choices:
A. hexahedron
B. cone
C. tetrahedron
D. octahedron
Correct Answer: C
Solution:
Step 1: A tetrahedron or a triangular Pyramid is a Pyramid with a triangular base.

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Step 2: The Net of a tetrahedron that can be folded and joined to form a tetrahedron is as shown.

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Step 3: The points 2, 3, and 4 forms the base, and the sides join at point 1 to form a pyramid.
Step 4: There are 4 faces, 6 edges, and 4 vertices in a tetrahedron.
Step 5: So, tetrahedron is a Polyhedron that has 4 faces, 6 edges, and 4 vertices.

Related Terms for Polyhedron

• Face
• Polygon
• Space Figure

Additional Links for Polyhedron

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