Question

using eulers formula, how many edges does a polyhedron with 20 faces and 12 vertices have? ? edges eulers formula: f + v = e + 2

Explanation:

Step1: Substitute the values into Euler's formula

Given \(F = 20\), \(V = 12\). Substitute into \(F+V=E + 2\), we get \(20 + 12=E+2\).

Step2: Solve for \(E\)

Simplify the left - hand side: \(32=E + 2\). Then subtract 2 from both sides: \(E=32 - 2\).

Answer:

\(30\)