To determine the surface area of a right rectangular prism, you can use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where:
- \( l \) = length
- \( w \) = width
- \( h \) = height
In your case, since each edge length measures 12.75 cm, you can let \( l = w = h = 12.75 \) cm.
Now, plug in the values into the formula:
-
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 \( wh \): \[ wh = 12.75 \times 12.75 = 162.5625 , \text{cm}^2 \]
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Now substitute these into the surface area formula: \[ \text{Surface Area} = 2(162.5625 + 162.5625 + 162.5625) \] \[ = 2(487.6875) = 975.375 , \text{cm}^2 \]
Therefore, rounding to two decimal places, the surface area of the right rectangular prism is:
\[ \text{Surface Area} \approx 975.38 , \text{cm}^2 \]
So the correct answer is 975.38 cm².