Definition Of Dodecahedron

A Dodecahedron is a polyhedron with 12 faces.

More About Dodecahedron

A regulardodecahedron has 12 congruent faces and each face is a regular pentagon.
The surface area of a regular dodecahedron is given by the formula , where s is the length of each side of a pentagon.
The volume of a regular dodecahedron is given by the formula , where s is the length of each side of a pentagon.

Examples of Dodecahedron

There are 12 faces in this polyhedron. 
All the faces are congruent and pentagonal.
So, this is a dodecahedron.

Video Examples: Sketchup, Rhombic Dodecahedron
 

Solved Example on Dodecahedron

Ques: Identify the net that folds into a regular dodecahedron from the following.

Choices:

A. Figure 1
B. Figure 2
C. Figure 3
D. None of these
Correct Answer: A

Solution:

Step 1: Figure 1 here has 12 congruent pentagonal faces in it.
Step 2: So, it can be folded into a regular dodecahedron.

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