\[\boxed{\mathbf{297}\mathbf{.}}\]
\[S = 2 \cdot (6 \cdot 7 + 6 \cdot 12 + 7 \cdot 12) =\]
\[= 2 \cdot (42 + 72 + 84) =\]
\[= 2 \cdot (114 + 84) =\]
\[= 2 \cdot 198 = 396\ см^{2}.\]
\[V = 6 \cdot 7 \cdot 12 = 6 \cdot 84 = 504\ см^{3}.\]