Consider a cm as the edge of the cubeWe know thatSurface area of cube 6 a2So we getNew edge =a+50% of aIt can be written asNew edge =a+10050​ aBy LCMNew edge =100150​ aWe getNew edge =23​ a cmSo the new surface area =6(23​ a)2We getNew surface area =6×49​ a2=227​ a2 cm2Increased surface area = new surface area - surface areaSo we getIncreased surface area =227​ a2−6a2=215​ a2 cm2So the percentage increase in surface area = (increased surface area / original surface area)×100By substituting the valuesPercentage increased in surface area =(215a2​×6a21​)×100So we getPercentage increased in surface area =125%Therefore, the percentage increase in the surface are of the cube is 125%.