Respuesta :

Given data:

The given triangular prism.

The expression for lateral surface area is,

[tex]\begin{gathered} LS=(8\operatorname{mm}+\text{ 6mm +}10\text{ mm)}\times12\text{ mm} \\ =288\text{ sq-mm} \end{gathered}[/tex]

Thus, the lateral surface area is 288 sq-mm.