Find the approximate change in the volume V of a cube of side x m | Filo
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Class 12

Math

Calculus

Application of Derivatives

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

Solution: Solution: Let is the side of the cube.Then, volume of the cube,
Now,

It is given that of


of
So, approximate change in the volume of the cube will be and percentage change will be .
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