To calculate the surface area of a right rectangular prism, we 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 each edge length measures 12.75 cm, we have:
- \( l = 12.75 \) cm
- \( w = 12.75 \) cm
- \( h = 12.75 \) cm
Now we can substitute these values into the formula:
\[ \text{Surface Area} = 2(12.75 \times 12.75 + 12.75 \times 12.75 + 12.75 \times 12.75) \] \[ = 2(3 \times 12.75 \times 12.75) \] \[ = 2(3 \times 162.5625) \quad (\text{since } 12.75 \times 12.75 = 162.5625) \] \[ = 2(487.6875) \] \[ = 975.375 \text{ cm}^2 \]
Rounded to two decimal places, the surface area is \( 975.38 \) cm².
So, the correct response is:
975.38 cm²