Platonic solids

Geometry Level 3

When we see an Icosahedron such that one of its vertices line up with our eyes then we see a Pentagon on its surface which is formed by the five vertices, as can be seen in the figure below.

How many such Pentagons are present in an Icosahedron?

15 20 12 18 25

Abhay Tiwari by Abhay Tiwari , 28, India

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1 solution

Geoff Pilling
May 6, 2016

Each vertex has a corresponding pentagon, and an icosahedron has 12 \boxed{12} vertices.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Sir, I did the same way. :)

Abhay Tiwari - 5 years, 1 month ago

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