Question

If the number of faces, vertices and edges of a polyhedron are x, x + 2 and x + 6 respectively, use Euler's formula to find the value of x. ​

Answer 1

Step-by-step explanation:

$x = 6$

Explanation:

$x + x + 2 = x + 6 + 2 \\ 2x + 2 = x + 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ 2x - x = 8 - 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ x = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$