Example 24 - Find approx change in volume V of a cube of side x - Finding approximate value- Statement questions

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise

Transcript

Example 24 Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%. Let side of the cube = x metres Increase in side = 2% = 0.02 x Hence = 0.02 x Volume of the cube = V = x3 m3 We need to find approximate change in volume of the cube i.e. Now, = = ( 3 ) = 3x2 (0.02x) = 0.06x3 Hence, the approximate change in the volume of the cube is 0.06 x3 m3.

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