Use Euler's Formula to find the missing number Faces:27 Vertices:20
Euler's Formula states that for a polyhedron, the number of faces (F), vertices (V), and edges (E) are related by the formula F + V = E + 2.
Given that the polyhedron has 27 faces and 20 vertices, we can plug these values into Euler's formula:
27 (faces) + 20 (vertices) = E (edges) + 2
47 = E + 2
E = 45
Therefore, the missing number is the number of edges, which is 45.