Answer
One cubic meter of water has a mass of 1000 kg
Work Step by Step
We are given a density of 1.0 $g/cm^{3}$ and must then convert this to $kg/m^{3}$
$1cm^{3}=(0.01m)^{3}=0.000001m^{3}=10^{-6}m^{3}$
and
$1g=0.001kg^{3}=10^{-3}kg$
Density is determined by dividing mass by its volume
$1g/cm^{3}=(\frac{1g}{1cm^{3}})(\frac{10^{-3}kg}{1g})(\frac{1cm^{3}}{10^{-6}m^{3}})= 1000kg/m^{3}$
From this we can solve that one cubic meter of water has a mass of 1000 kg