Question

The density of a cube can be measured by measuring its mass and the length of its side. If the maximum errors in the measurement of mass and length are 3% and 2% respectively, the maximum error in the measurement of the density of the cube is :

• A. 9%
• B. 19%
• C. 10%
• D. 90%

Answer 1

The correct option is A 9%

$d=M{L}^{-3}\to \left(Bydimensionalanalysis\right)$

$\frac{△d}{d}=\frac{△M}{M}+3\frac{△L}{L}$
$=3+3\left(2\right)$
$=9$%