Answer:
[tex]\text{D. }464\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The surface area of the prism consists of four rectangles and two trapezoids. The sum of the areas of these polygons will give the total surface area of the prism:
Rectangle 1 (top base): [tex]12\cdot 14=168[/tex]
Rectangle 2 (bottom base): [tex]6\cdot 14 = 84[/tex]
Trapezoids 1 and 2 (lateral): [tex]2\cdot 9 \cdot 4=72[/tex]
Rectangles 3 and 4 (lateral): [tex]2\cdot 14\cdot 5=140[/tex]
Thus the total surface area is equal to
[tex]168+84+72+140=\boxed{\text{D. }464\:\mathrm{ft^2}}[/tex]
