Question

A solid have 18 surface,10 verticles find the number of edges by using eulers formulas​

Answer 1

Answer:

We are given with the number of faces and vertices and we have to find the number of edges by using Euler's formula.

GiveN:

• No. of faces = 18
• No. of vertices = 10

We have to find no. of edges by using Euler's formula.

EULER'S FORMULA:

$\large{ \boxed{ \boxed{ \rm{F + V - E = 2}}}}$

Here F is the number of faces, V is the number of vertices and E is the number of edges.

So, plug in the number of faces and vertices given to get the number of edges:

➝ F + V - E = 2

➝ 18 + 10 - E = 2

➝ 28 - E = 2

➝ E = 28 - 2

➝ E = 26

So, the Number of edges in the solid is:

$\large{ \therefore{ \boxed{ \purple{ \bf{26}}}}}$

And we are done !!