The surface area of a rectangular prism can be found using the formula:
A = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the prism, respectively.
Substituting the given values, we get:
A = 2(5 cm)(6 cm) + 2(5 cm)(7 cm) + 2(6 cm)(7 cm)
A = 60 cm² + 70 cm² + 84 cm²
A = 214 cm²
Therefore, the surface area of the rectangular prism is 214 cm².