\[\boxed{\mathbf{296}\mathbf{.}}\]
\[S = 2 \cdot (3 \cdot 8 + 3 \cdot 2 + 8 \cdot 2) =\]
\[= 2 \cdot (24 + 6 + 16) = 2 \cdot 46 =\]
\[= 92\ см^{2}.\]
\[V = 3 \cdot 8 \cdot 2 = 24 \cdot 2 = 48\ см^{3}.\]