Physics

A cuboid has volume $V=1\times 2l \times 3l$ where $1$ is the length of one side. If the relative percentage error in the measurement of $l$ is $1\%$, then the relative percentage error in measurement of $V$ is

$3\%$

SOLUTION
$V = 6{l^3}$
$\Rightarrow \frac{{\Delta V}}{V} \times 100 = 3 \times \frac{{\Delta l}}{l} \times 100$
$\Rightarrow \frac{{\Delta V}}{V} \times 100 = 3 \times 1 = 3\%$
$\therefore \% \,error\,in\,\,V = 3\%$
Hence,
option $(C)$ is correct answer.

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Single Correct Medium Published on 18th 08, 2020
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