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KCET2020MathematicsIndefinite Integration

If the side of a cube is increased by 5 % , then the surface area of a cube is increased by

Options

  1. A10 %
  2. B60 %
  3. C6 %
  4. D20 %

Correct answer

A. 10 %

Step-by-step solution

We know that the surface area of cube is given by S=6 x² aligned d S d x &=12 x² x &=5 % of x=0 05 x aligned The surface area of a cube is increased by aligned = S S 100 % & =& ( d S d x ) x S 100 % =& 12 x (0 05 x) 6 x² 100 % =& 0 10 100 %=10 % aligned

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