1103107008

A regular hexagonal prism $ABCDEF{A}^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }{E}^{\prime }{F}^{\prime }$ has the base edge length of $4\mathrm{cm}$ and the height of $6\mathrm{cm}$. Let $S$ be the middle of the top face $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }{E}^{\prime }{F}^{\prime }$. Find the distance between the point $S$ and the line $BC$ (see the picture).