The surface area of a rectangular prism is
[tex]S=2(lh+wh+lw)[/tex]Where l = 12.7cm, w = 5.78 cm, and h = 6.72 cm. Let's replace these values
[tex]\begin{gathered} S=2(12.7\cdot6.72+5.78\cdot6.72+12.7\cdot5.78) \\ S=2(85.34+38.84+73.41)=2(197.6) \\ S=395.2(cm)^2 \end{gathered}[/tex]