The density of a cube is measured by measurin | vedclass

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Question

$\rho \, = \,\frac{M}{V} = \frac{M}{{{L^3}}}$

$\Rightarrow \,\frac{{\Delta \rho }}{\rho } = \frac{{\Delta M}}{M} + \frac{{3\Delta L}}{L}$

Vedclass · Accepted Answer

$9$

Vedclass · Answer

$ho \, = \,\frac{M}{V} = \frac{M}{{{L^3}}}$

$\Rightarrow \,\frac{{\Delta ho }}{ho } = \frac{{\Delta M}}{M} + \frac{{3\Delta L}}{L}$

$\Rightarrow \,\frac{{\Delta ho }}{ho } = 3+2	imes 3=9\%$

The density of a cube is measured by measuring its mass and the length of its sides. If the maximum error in the measurement of mass and length are $3\%$ and $2\%$ respectively, then find the maximum error in the measurement of the density of cube.......... $\%$

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