The surface area of this triangular prism is given by the sum of the area of its five sides.
The are a of each one of the two triangular sides is given by:
[tex]\frac{1}{2}\cdot3\cdot4=6\text{ cm}^2[/tex]
The area of the rectangular base is given by:
[tex]4\cdot11=44\text{ cm}^2[/tex]
The area of the rectangular side perpendicular to the base is given by:
[tex]3\cdot11=33\text{ cm}^2[/tex]
The area of the upper side is given by:
[tex]5\cdot11=55\text{ cm}^2[/tex]
Therefore, the total area is:
[tex]2\cdot6+44+33+55=144\text{ cm}^2[/tex]
Answer: 144 cm²
