To find the surface area of a right rectangular prism, you can use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where \( l \), \( w \), and \( h \) are the lengths of the edges of the prism.
In this case, since all edges are equal and measure 12.75 cm, you can set \( l = w = h = 12.75 \) cm.
Thus, the surface area calculation becomes:
\[ \text{Surface Area} = 2(12.75 \times 12.75 + 12.75 \times 12.75 + 12.75 \times 12.75) \]
Calculating \( 12.75 \times 12.75 \):
\[ 12.75 \times 12.75 = 162.5625 \]
Now, substitute this value back into the surface area formula:
\[ \text{Surface Area} = 2(162.5625 + 162.5625 + 162.5625) \]
\[ = 2(3 \times 162.5625) = 2 \times 487.6875 = 975.375 \]
Rounding this to two decimal places gives:
\[ \text{Surface Area} \approx 975.38 , \text{cm}^2 \]
Therefore, the surface area of the right rectangular prism is 975.38 cm².
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