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

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) (Show Source): You can put this solution on YOUR website!
.

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  = 200%.

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