1. **State the problem:** We need to find the surface area of a right rectangular prism with dimensions 11 m, 7 m, and 13 m. 2. **Formula for surface area of a rectangular prism:** $$A = 2(lw + lh + wh)$$ where $l$, $w$, and $h$ are the length, width, and height of the prism. 3. **Identify dimensions:** Given dimensions are $l = 11$ m, $w = 7$ m, and $h = 13$ m. 4. **Calculate each product:** $$lw = 11 \times 7 = 77$$ $$lh = 11 \times 13 = 143$$ $$wh = 7 \times 13 = 91$$ 5. **Sum the products:** $$77 + 143 + 91 = 311$$ 6. **Calculate surface area:** $$A = 2 \times 311 = 622$$ 7. **Final answer:** The surface area of the prism is **622 square meters**.