Question

A solid has 12 vertices and 30 edges. Find it's faces using euler's formula.

Answer 1

Hola

Here is your answer

Euler's formula ➡️➡️ V - E + F = 2

Where V stands for vertices

E for the edges and F for faces.

Coming back to your question

V = 12. E =30 F = ?

V - E + F = 2

12 - 30 + F = 2

-18 + F = 2

F = 2 + 18

F = 20

Answer - F = 20

$<b>Hope it helps</b>$

Answer 2

According to Euler's formula for polyhedra ,
=> F + V - E = 2
where F = no. of faces,
V = no. of vertices (corners),
E = no. of edges.
So, here V= 12, E= 30, then
F + V - E = 2
=> F + 12 - 30 = 2
=> F - 18= 2
=> F = 20
So, there are 20 faces.