Art of Problem Solving

2023 AMC 10A Problems/Problem 6

What is 1+1?

Solution

Each of the vertices is counted $3$ times because each vertex is shared by three different edges. Each of the edges is counted $2$ times because each edge is shared by two different faces. Since the sum of the integers assigned to all vertices is $21$, the final answer is $21\times3\times2=\boxed{(D)126}$

~Mintylemon66