Use Euler's formula to find the missing number vertices 18 edges 22 faces ?
To use Euler's formula to find the missing number, we can use the formula:
V + F = E + 2
where V is the number of vertices, F is the number of faces, and E is the number of edges.
Given that V = 18 and E = 22, we can substitute these values into the formula:
18 + F = 22 + 2
Simplifying the equation:
18 + F = 24
Subtracting 18 from both sides:
F = 24 - 18
F = 6
Therefore, the missing number is 6.
Euler's formula states that for a polyhedron (a solid object with flat faces), the number of vertices plus the number of faces equals the number of edges plus two.
In this case, we are given that the number of vertices is 18, the number of edges is 22, and the number of faces is missing. Let's call the number of faces "F". Then we can use Euler's formula:
V + F = E + 2
Substituting the given values:
18 + F = 22 + 2
Simplifying:
F = 6
Therefore, the missing number is 6 faces.