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$rho=2700*kg*m^-3$

$=2700xx10^3*g*(100*cm)^-3$

$=2.700xx10^6*gxx1/(100^3*cm^3)$

$=2.700xx10^6*gxx10^-6*cm^-3$

$=2.700*g*cm^-3$

I always have to double check when I use $"cubic metres"$. A $m^3$ ($-=1000*L$) is a HUGE volume.