Answer
100 Kg
Work Step by Step
Density of silica aerogel $=0.1 g/cm^{3}$
5% of the mass is occupied by silica, the rest 95% is empty.
Mass of silica in $1 m^{3}$ is given by
$Mass = Density \times Volume = 0.1 g/cm^{3}\times 10^{6} cm^{3} =10^{5} g = 100 kg$