Question

Use Euler’s formula to find the number of vertices in a polyhedron with 6 square faces and 12 edges

Answer 1

Answer:

$V = 8$

Step-by-step explanation:

we know that

The Euler's formula state that: In a polyhedron, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

$V - E + F = 2$

in this problem  we have

$V=?\\E=12\\F=6$

substitute the given values

$V - 12 + 6 = 2$

solve for V

Combine like terms left side

$V - 6 = 2$

Adds 6 both sides

$V - 6+6 = 2+6$

$V = 8$