1959 AHSME Problems/Problem 1
Problem 1
Each edge of a cube is increased by 
%. The percent of increase of the surface area of the cube is:
Solution
Note that increasing the length of each edge by % with result in a cube that is similar to the original cube with scale factor 
. Therefore, the surface area will increase by a factor of 
, or 
. Converting this back into a percent, the percent increase will be 
%. Therefore, the answer is 
.
See also
| 1959 AHSC (Problems • Answer Key • Resources) | ||
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Followed by Problem 2 | |
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The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
