The surface area of the trapezoidal prism that is given above is calculated as: A. 510.4 ft².
What is the surface area of the trapezoidal prism?
The formula for the surface area of a trapezoidal prism is: sum of the lengths of the bases multiplied by the height + the perimeter of the trapezoid multiplied by the height of the prism.
This can be expressed by the formula below:
SA = (b₁ + b₂)h + PH
In this case, we have:
b₁ = 7 ft
b₂ = 15 ft
height of the trapezoid = 5 ft
Perimeter (P) = 7 + 5 + 15 + 9.4 = 36.4 ft
Height of the prism (H) = 11 ft
Plug in the values:
SA = (7 + 15)*5 + (36.4)(11)
SA = 110 + 400.4
SA = 510.4 ft²
The correct option is: Option A. 510.4 ft².