Answer = 50.8 in^2 for surface area of the triangular prism
Step by step
A “net” is the figure laid out so you can see it broke down into smaller shape
Starting from the left we have 3 rectangles and two triangles
Area of rectangles = L x W
Area of triangles = 1/2bh
Solve
Rectangle #1 = 2 x 5 = 10 in^2
Rectangle #2 = 2 x 4 = 8 in^2
Rectangle #3 = 2 x 6.4 = 12.8 in^2
Triangle #1 = (1/2) (4) (5) = 10 in^2
Triangle #2 = (1/2) (4) (5) = 10 in^2
Add your figures together
10 + 8 + 12.8 + 10 + 10 = 50.8 in^2
see attachment for breakdown