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Find the approximate change in the volume V of a cube of side ‘x’ meters caused by increasing the side by 3%

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0.09 x3 m3

9 x3 m3

0.9 x3 m3

0.1 x3 m3

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detailed solution

Correct option is A

Note that V=x3 dV=dVdxΔx =3x2Δx =3x2(0.03x) =0.09x3m3 Thus, the approximate change in volume is 0.09x3m3

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