A liquid metal is poured in a mold cavity of size $200 \mathrm{~mm} \times 200 \mathrm{~mm} \times 200 \mathrm{~mm}$. The cooling is uniform in all directions with NO additional compensation for shrinkage. Considering the volumetric shrinkage during solidification and solid contraction as $7 \%$ and $8 \%$, respectively, the length of the cube edge after cooling down to the room temperature is __________ $\mathrm{~mm}$ (rounded off to $1$ decimal place).
