Question

if prism has 8 vertices and 12 edges then find the number of faces using Eulers formula​

Answer 1

Answer:

We have,

Number of vertices (V) = 8

Number of edges (E) = 12

Let, number of faces = F

Since every polyhedron satisfy Euler's formula, therefore

F + V = E + 2

Or, F + 8 = 12 + 2

Or, F = 14 - 8 = 6

Hence the number of faces are 6.

Answer 2

Answer:

use Euler's formula:

V - E + F = 2.

Explanation:

V = 8 , E = 12 , F = ?

So

use formula

V - E + F = 2

8 - 12 +F =2

-4 + F = 2

F = 2 + 4

F = 6 ans