Physics - Error Question with Solution | TestHub

The volume of the cuboid is $V=l\times 2l\times 3l=6l^3$.

The relative error in $l$ is $1\%$, i.e., $\frac{\Delta l}{l}=0.01$.

The relative error in $V$ is given by $\frac{\Delta V}{V}=3\frac{\Delta l}{l}=3\times 0.01=0.03$.

Therefore, the relative percentage error in $V$ is $0.03\times 100\%=3\%$.

Final Answer: The final answer is $\boxed{3\%}$