Difference between revisions of "2016 AMC 10A Problems/Problem 5"
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Revision as of 22:43, 13 August 2024
Contents
Problem
A rectangular box has integer side lengths in the ratio 
. Which of the following could be the volume of the box?
Solution 1
Let the smallest side length be 
. Then the volume is 
. If 
, then 
Solution 2
As seen in the first solution, we end up with 
. Taking the answer choices and dividing by 
, we get 
,
, 
, 
, 
and the final answer has to equal 
. The only answer choice that works is 
.
Video Solution (HOW TO THINK CREATIVELY!!!)
https://youtu.be/bc-somFWrbg
~Education, the Study of Everything
Video Solution
https://youtu.be/VIt6LnkV4_w?t=512
~savannahsolver
https://www.youtube.com/watch?v=4zTfNAWEzys
~IBHishere
See Also
| 2016 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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. 
