The density of a cube is calculated by measuring the length of its one

1.	The density of a cube is calculated by measuring the length of its one side and its mass. If the maximum errors in the measurement of mass and length are 3% and 2% respectively, then what is the maximum possible error in the measurement of density?
Answer» \(\frac{\Delta{d}}{d}\,\times100\,=\)\(\frac{\Delta{m}}{m}\,\times100\,+\,\)\(3\frac {\Delta{l}}{l}\,\times100\,\) = 3% + 3 x 2% = 9%

The density of a cube is calculated by measuring the length of its one side and its mass. If the maximum errors in the measurement of mass and length are 3% and 2% respectively, then what is the maximum possible error in the measurement of density?

Answer»

\(\frac{\Delta{d}}{d}\,\times100\,=\)\(\frac{\Delta{m}}{m}\,\times100\,+\,\)\(3\frac {\Delta{l}}{l}\,\times100\,\)

= 3% + 3 x 2% = 9%