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Icosahedron

Definition Of Icosahedron

An Icosahedron is a polyhedron with 20 faces which are all equilateral triangles.

More About Icosahedron

It has 20 faces, 30 edges and 12 vertices.
The surface area of an icosahedron is given by example of Icosahedron, where a is the edge length of the icosahedron.
The volume of an icosahedron is given by example of Icosahedron, where a is the edge length of the icosahedron.

Video Examples: Math Sculpture - Icosahedron I
 

Example of Icosahedron

 example of  Icosahedron

The figure below shows two of the six Icosahedrons of a cube

Solved Example on Icosahedron

Ques: Identify an icosahedron from the following figures.

 example of  Icosahedron

Choices:

A. Figure 3
B. Figure 2
C. Figure 4
D. Figure 1
Correct Answer: C

Solution:

Step 1: An icosahedron has 20 faces, 30 edges and 12 vertices with equilateral triangles.
Step 2: Here, Figure 4 is an icosahedron.