elynnea4xl

2023-02-24

Using Euler's formula, find the unknown: $\begin{array}{|cccc|}\hline Faces& ?& 5& 20\\ Vertices& 6& ?& 12\\ Edges& 12& 9& ?\\ \hline\end{array}$

Haylie Long

Beginner2023-02-25Added 7 answers

By euler’s formula, we have

F + V - V = 2

i) F + 6 – 12 = 2

F = 2 + 6

F = 8

ii) 5 + V – 9 = 2

V-4 = 2

V = 6

iii) 20 + 12 – E = 2

32 – E = 2

E = 30

F + V - V = 2

i) F + 6 – 12 = 2

F = 2 + 6

F = 8

ii) 5 + V – 9 = 2

V-4 = 2

V = 6

iii) 20 + 12 – E = 2

32 – E = 2

E = 30