To find the surface area of a right rectangular prism (also known as a rectangular box), 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 this case, each edge length measures 15.10 cm. Therefore, we have:
- \( l = 15.10 \) cm
- \( w = 15.10 \) cm
- \( h = 15.10 \) cm
Now, we can substitute these values into the formula:
\[ \text{Surface Area} = 2(15.10 \cdot 15.10 + 15.10 \cdot 15.10 + 15.10 \cdot 15.10) \]
Calculating each term inside the parentheses:
\[ 15.10 \cdot 15.10 = 228.01 , \text{cm}^2 \]
So,
\[ \text{Surface Area} = 2(228.01 + 228.01 + 228.01) = 2(684.03) \]
Calculating the final surface area:
\[ \text{Surface Area} = 1368.06 , \text{cm}^2 \]
Therefore, the surface area of the right rectangular prism is 1368.06 cm².
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