To find 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:
- Length (l) = 12.75 cm
- Width (w) = 12.75 cm
- Height (h) = 12.75 cm
Now, we can substitute these values into the formula:
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Calculate \(lw\): \[ lw = 12.75 \times 12.75 = 162.5625 \text{ cm}^2 \]
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Calculate \(lh\): \[ lh = 12.75 \times 12.75 = 162.5625 \text{ cm}^2 \]
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Calculate \(wh\): \[ wh = 12.75 \times 12.75 = 162.5625 \text{ cm}^2 \]
Now, substitute these values into the surface area formula:
\[ \text{Surface Area} = 2(162.5625 + 162.5625 + 162.5625) \] \[ \text{Surface Area} = 2(487.6875) = 975.375 \text{ cm}^2 \]
Since the question asks for the surface area, the closest answer is
975.38 cm² or 975.38 cm squared.