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To find the surface area of a rectangular pyramid, you need to find the area of the base and the lateral area.
The base of the rectangular pyramid is a rectangle with length l = 13 cm and width w = 11 cm. So, the area of the base is l * w = 13 cm * 11 cm = 143 cm^2.
The lateral area of a pyramid is found by adding the areas of each triangular face. Since it's a rectangular pyramid, the lateral faces are rectangles.
The lateral face is a rectangle with width w = 11 cm and height h = 8 cm. So, the area of each lateral face is 11 cm * 8 cm = 88 cm^2. Since there are four lateral faces, the total lateral area is 4 * 88 cm^2 = 352 cm^2.
The surface area of the rectangular pyramid is the sum of the base area and the lateral area, so it is 143 cm^2 + 352 cm^2 = 495 cm^2.
Therefore, the surface area of the rectangular pyramid is 495 cm^2.