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An error of 3% is committed in the measurement of volume of a cube. What is the percentage of error committed in the measurement of each of its sides. |
Answer» <html><body><p></p>Solution :The volume of a cube `V=<a href="https://interviewquestions.tuteehub.com/tag/l-535906" style="font-weight:bold;" target="_blank" title="Click to know more about L">L</a>^<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>`<br/> l=length of each side <br/> so `long(V) = 3 log l` <br/> Differentiating both sides `DeltaV/V=3(Deltal)/l` so, `(Deltal)/l=l//3xx(DeltaV)/V=<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>//3xx3%=1%`</body></html> | |