1959 AHSME Problems/Problem 1
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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 .