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The Approximate Change in the Volume of a Cube of Side X Metres Caused by Increasing the Side by 3% is

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Question

The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is

A. 0.06 x3 m3 

B. 0.6 x3 m3

C. 0.09 x3 m3

D. 0.9 x3 m3

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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 0.09x3 m3.

The correct answer is C.

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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 9 | Page 216
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