Question 11 - Examples - Chapter 6 Class 12 Application of Derivatives

Last updated at December 16, 2024 by

Example 24 - Find approx change in volume V of a cube of side x

Example 24 - Chapter 6 Class 12 Application of Derivatives - Part 2

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Question 11 Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.Given Side of the cube = x metres Also, Increase in side = 2% of side = 0.02x Hence, āˆ†š’™ = 0.02 x And, Volume of the cube = V = x3 m3 We need to find Approximate change in volume of the cube i.e. āˆ†š‘½ Now, āˆ†š‘‰ = š‘‘š‘‰/š‘‘š‘„ āˆ†š‘„" " = (š‘‘(š‘„^3))/š‘‘š‘„ āˆ†š‘„" " = 3x2 (0.02x) = 0.06 x3 Hence, the approximate change in the volume of the cube is 0.06 x3 m3

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