Question

A cuboid has a volume V = l*2l*3l, where l 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​

Answer 1

Answer:

Explanation:

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Answer 2

Given that,

Volume of the cuboid is :

$V=l\times 2l\times 3l$

l is length of one side

The relative percentage error in the measurement of l is 1%.

To find,

The relative percentage error in measurement of V.

Solution,

The volume of cube will become :

$V=6l^3$

The relative percentage error in measurement of V is :

$\dfrac{\Delta V}{V}=3\times \dfrac{\Delta l}{l}\\\\\dfrac{\Delta V}{V}=3\times 1\\\\\dfrac{\Delta V}{V}=3\%$

So, the relative percentage error in measurement of V is​ 3%.

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Percentage error

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