Answer:
The total area of the prism is

Explanation:
we know that
The surface area of the triangular prism of the figure is equal to

where
B is the area of the triangular face
P is the perimeter of the triangular face
L is the length of the prism
Find the area of the base B
The base is an equilateral triangle
so
Applying the law of sines the area is equal to


Find the perimeter P of the triangular face

we have

substitute

