2007 AMC 10A Problems/Problem 11
Problem
The numbers from to are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same. What is this common sum?
Solution
The sum of the numbers on the top face of a cube is equal to the sum of the numbers on the bottom face of the cube; these numbers represent all of the vertices of the cube. Thus the answer is .
See also
2007 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
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All AMC 10 Problems and Solutions |