The surface area \( S \) of a right rectangular prism can be calculated using the formula:
\[ S = 2(lw + lh + wh) \]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism. In this case, all edge lengths are the same, so we can let \( l = w = h = 12.75 \) cm.
Plugging in the values:
\[ S = 2(12.75 \times 12.75 + 12.75 \times 12.75 + 12.75 \times 12.75) \] \[ = 2(3 \times 12.75 \times 12.75) \] \[ = 2(3 \times 162.5625) \quad \text{(since \( 12.75^2 = 162.5625 \))} \] \[ = 2(487.6875) \] \[ = 975.375 \text{ cm}^2 \]
Rounding to two decimal places or as required, the surface area \( S \) is approximately \( 975.38 \) cm².
Therefore, the correct response is:
975.38 cm².
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