we know that
\[DENSITY=\frac{MASS}{VOLUME}\]
\[[\rho]=\frac{[M]}{[V]}\]
\[[\rho]=\frac{[M^{1}]}{[L^{3}]}\]
\[[\rho]=[M^{1}L^{-3}]\]
i.e.
Dimensions of density is \[[\rho]=[M^{1}L^{-3}]\]
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