To calculate 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 your case, since all edge lengths are equal (12.75 cm), we can let \(l = w = h = 12.75 , \text{cm}\).
Substituting these values into the formula:
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Calculate \(lw\):
\[ lw = 12.75 \times 12.75 = 162.5625 , \text{cm}^2 \] -
Calculate \(lh\):
\[ lh = 12.75 \times 12.75 = 162.5625 , \text{cm}^2 \] -
Calculate \(wh\):
\[ wh = 12.75 \times 12.75 = 162.5625 , \text{cm}^2 \]
Now add these areas together:
\[ lw + lh + wh = 162.5625 + 162.5625 + 162.5625 = 487.6875 , \text{cm}^2 \]
Now multiply by 2 to find the total surface area:
\[ \text{Surface Area} = 2 \times 487.6875 = 975.375 , \text{cm}^2 \]
Rounding this to two decimal places gives us \(975.38 , \text{cm}^2\).
The answer is 2. 975.38 cm².
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