Aluminium is casted in a cube-shaped mold having dimensions as $20 \mathrm{~mm} \times 20 \mathrm{~mm} \times 20 \mathrm{~mm}$. Another mold of the same mold material is used to cast a sphere of aluminium having a diameter of $20 \mathrm{~mm}$. The pouring temperature for both cases is the same. The ratio of the solidification times of the cube-shaped mold to the spherical mold is __________ (answer in integer).