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