2010015607

The rectangular box $ABCD{A}^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$ has edges of lengths $|AB|=5\mathrm{cm}$ and $|BC|=6\mathrm{cm}$. The distance between the center of the top face $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$ and the center of the bottom face $ABCD$ is $12\mathrm{cm}$. Find the length of the diagonal $D{C}^{\prime }$.