What is the SI unit of density?

What is the SI unit of density?
  1. $\mathrm{kg} \mathrm{dm}^3$
  2. $\mathrm{kg} \mathrm{m}^{-3}$
  3. $\mathrm{kg} \mathrm{m}{ }^3$
  4. $\mathrm{kg} \mathrm{dm}^{-3}$

Solution

$\begin{aligned} & \text { density }=\frac{\text { Mass }}{\text { Volume }} \\ & \text { SI unit of mass }=\mathrm{kg} \\ & \text { SI unit of volume }=\mathrm{m}^3 \\ & \text { SI unit of density }=\frac{\mathrm{kg}}{\mathrm{m}^3} \text { or } \mathrm{kg} \cdot \mathrm{m}^{-3}\end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 1)

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