To determine the surface area of a right rectangular prism (also known as a rectangular box), we can use the formula for the surface area \( S \) of a rectangular prism:
\[ S = 2(lw + lh + wh) \]
where \( l \), \( w \), and \( h \) are the lengths of the three edges of the prism.
In this case, since all edges are equal (the prism is a cube), we have:
\[ l = w = h = 15.10 , \text{cm} \]
Plugging in the values:
\[ S = 2(l^2 + l^2 + l^2) = 2(3l^2) = 6l^2 \]
Now, substituting \( l = 15.10 , \text{cm} \):
\[ S = 6(15.10^2) \]
Calculating \( 15.10^2 \):
\[ 15.10^2 = 228.01 , \text{cm}^2 \]
Now, substitute this value into the surface area formula:
\[ S = 6(228.01) = 1368.06 , \text{cm}^2 \]
Thus, the surface area of the right rectangular prism is:
\[ \boxed{1,368.06 , \text{cm}^2} \]