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The dimensions of a pyramid are increased by 1100%. The percentage increase in surface area is

The new dimensions are ___times the original dimensions, and the new surface area is ___times the original surface area. The increase in surface area is___%.

3 answers

The surface areas of similar objects are proportional to the square of their corresponding dimensions.
So if one dimension of the original is x
then the corresponding dimension of the new object is 1100% of x
= 11x
surface area of old/surface area of new = x^2/(11x^2) = 1/121
the new surface area is 121 times as large as the original
What's the percent increace?
the percent increase is 14300%