Find the approximate change in volume of a cube when side increases by – InterviewSolution

1.	Find the approximate change in volume of a cube when side increases by 1%.
Answer» Side of the cube=x metresIncrease in side=1%=0.01×x=0.01xVolume of a cube =l×b×h=x×x×x=x3Step 2:Approximate change in volume =ΔV=dvdx×ΔxV=x3dvdx=3x2[Differentiating with respect to x]ΔV=dvdx×Δx=3x2×0.01x=0.03x3m3

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