SOLUTION: A 3-inch wooden cube is cut into twenty-seven 1-inch cubes. What is the percent increase in total surface area?

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Question 1095658: A 3-inch wooden cube is cut into twenty-seven 1-inch cubes. What is the percent increase in total surface area?
Answer by ikleyn(52781) About Me  (Show Source):
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The original cube with 3-inch edge has the surface area of 6*(3*3) = 6*9 = 54 square inches.


When cut into  27  1-inch cubes, it generates 27 small cubes with the surface area of 6*1*1 = 6 square inches each.


So the total surface area for all 27 cubes is 27*6 = 162 square inches.


The percent of increase is %28%28162-54%29%2F54%29%2A100 = 200%.