Okay, here we have this:
Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:
Then we will substitute in the following formula:
Surface Area of Triangular Prism=(√3a^2)/2+3(a+h)
Replacing:
Surface Area of Triangular Prism=(√3*8^2)/2+3(8+6)
Surface Area of Triangular Prism=(√3*64)/2+3(14)
Surface Area of Triangular Prism=(√3*64)/2+42
Surface Area of Triangular Prism=(√3*32)+42
Surface Area of Triangular Prism=32√3+42
Surface Area of Triangular Prism=97 ft^2
Finally we obtain that the aproximately surface area is 97 ft^2.