By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2
How we do get the surface area?
We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:
A = b*h/2
Then for each of the triangles in the image, the area is:
A = 8ft*3ft/2 = 12 ft^2
And we have two of these.
Then we have the base, a rectangle of 8ft by 10ft, with an area:
A' = 8ft*10ft = 80ft^2
Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:
A'' = 8ft*4ft = 32 ft^2 (we have two of these).
Then the lateral sides, rectangles of 10ft by 4ft, with an area:
A''' = 10ft*4ft = 40ft^2 (we have two of these)
Finally, we have the top rectangles, of 5ft by 10ft, each with an area:
A'''' = 5ft*10ft = 50ft^2 (we have two of these).
Adding all the areas, we get:
Area = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
