Difference between revisions of "2023 AMC 10A Problems/Problem 6"

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==Solution==
 
==Solution==
<math>\boxed{69}</math>
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Each of the vertices is counted <math>3</math> times because each vertex is shared by three different edges.
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Each of the edges is counted <math>2</math> times because each edge is shared by two different faces.
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Since the sum of the integers assigned to all vertices is <math>21</math>, the final answer is <math> 21\times3\times2=\boxed{(D)126}</math>
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~Mintylemon66

Revision as of 18:45, 9 November 2023

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