The surface area of a prism is
[tex]A=bh+2ls+lb[/tex]Where b = 12 cm, h = 5 cm, l = 14 cm, and s = 12 cm. Let's replace these values
[tex]\begin{gathered} A=12\cdot5+2\cdot14\cdot12+14\cdot12 \\ A=60+336+168 \\ A=566(\operatorname{cm})^2 \end{gathered}[/tex]