Hello learners,
##

###

###

####

####

####

####

####

Hope you’re doing well.

In this tutorial I’m going to share and explain some of the illustrated topics which had given a boost to various fields of ** MATHEMATICS** and being explained and derived by a great

**named**

__Mathematician__##
**EUCLID****: Polyhedron**

sir Euclid was a great mathematician and physicist and had a great impact over other mathematicians of the same time, because of his sense of understanding the topic and providing Solutions of hard known problems

###
- He is also considered as
*Father of Geometry.*

*Father of Geometry.*I’ve picked this mathematician to elaborate some of the explanation given by him, so let’s start,

###
- Euclid’s law for Polyhedrons-

Euclid has given a concept for Polyhedrons that ” there is some relation between vertices, edges and faces of any polygon and this relationship stands true for each Polyhedron” and this relationship can be

####
__V + F = E + 2__

__V + F = E + 2__####
- For any cube

there is

**V (vertices) = 8****F ( faces ) = 6**

**E ( edges) = 12**

then

8 + 6 = 12 + 2

14 = 14

this

**relationship**stands constant for any of the polyhedron
likewise

####
- For triangular pyramid

there is

**V (vertices) = 4****F ( faces ) = 4**

**E ( edges) = 6**

then 4 + 4= 6 +2

8 = 8

####
- for Square Pyramid / Rectangular Pyramid

then 5 + 5 = 8 + 2

10 = 10

####
- Square/ Rectangular Prism

there is

**V (vertices) = 6****F ( faces ) = 5**

**E ( edges) = 9**

hence 6 + 5 = 9 + 2

11 = 11

so we’ve seen Sr Euclid has given a very useful concept for various 3D shapes/ polyhedrons

Hope you have found this post valuable.

Feel free to share with your Friends and seekers and share your valuable comments with others by commenting.