To calculate the surface area, we need to find the area of each of its face. To do this let's find all the faces, from the diagram we notice that we have the following faces:
• One rectangle with length 12 ft and width 10 ft.
,
• One rectangle with length 12 ft and width 6 ft.
,
• One rectangle with length 12 ft and width 8 ft.
,
• Two triangles with base 8 ft and height 6 ft.
Now that we identify all the faces, we add the area of each of them to find the surface area:
Therefore, the surface area of the figure is 336 square ft and the answer is a.