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If each side of a cube is decreased by \(19 \%\), then the decrease in surface area is :

Question and options

If each side of a cube is decreased by 19%19 \%, then the decrease in surface area is :
  1. 40%40 \%
  2. 34.39%34.39 \%
  3. 38.4%38.4 \%
  4. 19%19 \%

Answer and explanation

Correct answer: B - \(34.39 \%\)
Surface area scales by 0.81^2 = 0.6561, a decrease of 34.39%. Surface area varies as the square of the side, so the drop is 1 - 0.6561, not the 19% fall in the side itself.

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