Answer:
So first, we can see that two out of four sides of this triangular prism is a square because they have equal side lengths.
The surface area of these two sides should be:
A = a² · 2 = 10² · 2 = 100 · 2 = 200 (ft²)
Next, we need to find the area of the two triangles:
A = bh/2 · 2 = hb = 8 · 12 = 96 (ft²)
Lastly, we have the rectangular base:
A = wl = 10 · 12 = 120 (ft²)
All we need to do now is to add up all of our results:
A = 200 + 96 + 120 = 416 (ft²)