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If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

Correct Answer: 125%

Explanation:

Let the edge = a cm   


So increase by 50 % = a + a/2 = 3a/2  


Total surface Area of original cube =  6 a 2   


TSA of new cube =  6 3 a 2 2  = 6 9 a 2 4 =   13 . 5 a 2    


Increase in area =  13 . 5 a 2 - 6 a 2  = 7 . 5 a 2   


  7 . 5 a 2  Increase % = 7 . 5 a 2 6 a 2 × 100  = 125%


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