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Find the Approximate Change in the Surface Area of a Cube of Side X Metres Caused by Decreasing the Side by 1%

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Question

Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%

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Solution

The surface area of a cube (S) of side x is given by S = 6x2.

Hence, the approximate change in the surface area of the cube is 0.12x2 m2.

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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 5 | Page 216
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