The unit cell of copper corresponds to a face centered cube of edge length $3.596 \mathrm{\AA }$ with one copper atom at each lattice point. The calculated density of copper in $\mathrm{kg}/{\mathrm{m}}^3$ is ___ . [Molar mass of $\mathrm{Cu}:63.54 \mathrm{g};$ Avogadro Number $=6.022\times {10}^{23} \mathrm{J}$]