A) 225
B) 200
C) 175
D) 125
Correct Answer: D
Solution :
Let side of the cube be x. Then its total surface area \[=6{{x}^{2}}\] If each side is increased to\[\frac{3}{2}x,\] then total surface area \[=6\times \frac{3x}{2}\times \frac{3x}{2}=\frac{27{{x}^{2}}}{2}\] \[\therefore \] Increase \[=\frac{27{{x}^{2}}}{2}-6{{x}^{2}}=\frac{15{{x}^{2}}}{2}\] \[\therefore \] % increase \[=\frac{15{{x}^{2}}}{2}\times \frac{100}{6{{x}^{2}}}=125\]You need to login to perform this action.
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