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The rectangular box $ABCDEFGH$ shown in the picture has edges of lengths $|AB|=6\mathrm{cm}$, $|BC|=4\mathrm{cm}$ and $|AE|=8\mathrm{cm}$. Find the distance between the lines $E{S}_{FG}$ and $D{S}_{BC}$, where $S_{FG}$ is the center of $FG$ and $S_{BC}$ is the center of $BC$.