To find the surface area of a rectangular prism, we need to find the area of each face and add them up.
The prism has six faces: two identical rectangular faces on the top and bottom, and four rectangular faces on the sides.
To find the area of each face, we multiply the length and width of the face.
Top and bottom faces:
Length = 6 ft
Width = 3 ft
Area = 6 ft x 3 ft = 18 ft^2
Since there are two of these faces, their combined area is 2 x 18 = 36 ft^2
Side faces:
Length = 9 ft
Width = 3 ft
Area = 9 ft x 3 ft = 27 ft^2
Since there are four of these faces, their combined area is 4 x 27 = 108 ft^2
To find the total surface area, we add up the areas of all six faces:
Total surface area = 2(top and bottom faces) + 4(side faces)
Total surface area = 2(36 ft^2) + 4(108 ft^2)
Total surface area = 72 ft^2 + 432 ft^2
Total surface area = 504 ft^2
Therefore, the surface area of the given rectangular prism is 504 square feet.