Difference between revisions of "2017 AMC 10B Problems/Problem 6"
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Latest revision as of 19:04, 1 May 2021
Contents
[hide]Problem
What is the largest number of solid blocks that can fit in a box?
Solution
We find that the volume of the larger block is , and the volume of the smaller block is . Dividing the two, we see that only a maximum of four by by blocks can fit inside the by by block. Drawing it out, we see that such a configuration is indeed possible. Therefore, the answer is .
Video Solution
~savannahsolver
Video Solution by TheBeautyofMath
~IceMatrix
See Also
2017 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.