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Find the Approximate Change in the Volume V of a Cube of Side X Metres Caused by Increasing Side by 1%. - Mathematics

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Question

Find the approximate change in the volume V of a cube of side x metres caused by increasing side by 1%.

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Solution

The volume of a cube (V) of side x is given by V = x3.

Hence, the approximate change in the volume of the cube is 0.03x3 m3.

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Chapter 6: Application of Derivatives - Exercise 6.4 [Page 216]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.4 | Q 4 | Page 216

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