Question

1. use eulers formula to find the missing number.

faces: 20
edges: 30
vertices: ___
12
14
16
18

Explanation:

Step1: Recall Euler's Formula

For a convex polyhedron, Euler's Formula is $V - E + F = 2$, where $V$ = vertices, $E$ = edges, $F$ = faces.

Step2: Plug in known values

Given $F = 20$, $E = 30$. Substitute into the formula: $V - 30 + 20 = 2$.

Step3: Solve for $V$

Simplify: $V - 10 = 2 \implies V = 12$.

Answer:

12