What is the surface area of a right rectangular prism where each edge length measures 15.10 cm ?

A right rectangular prism has 6 faces, each of which is a rectangle. We know that the length of each edge is 15.10 cm. Therefore, the length of each rectangle's side is also 15.10 cm.

The formula for the surface area of a rectangular prism is $2lw + 2lh + 2wh$, where $l$ represents the length, $w$ represents the width, and $h$ represents the height of the prism.

In this case, since all sides of the rectangles are the same length, $l = w = 15.10$ cm.

Therefore, the surface area of the right rectangular prism is $2(15.10)(15.10) + 2(15.10)(15.10) + 2(15.10)(15.10)$.

Evaluating this expression, we find the surface area is $2(15.10)(15.10) + 2(15.10)(15.10) + 2(15.10)(15.10) = 3(15.10)(15.10) = \boxed{1365.21}$ square cm.