To calculate the surface area of a rectangular prism (also known as a box), you can use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism.
Since each edge length measures 15.1 cm, we have:
- \( l = 15.1 , \text{cm} \)
- \( w = 15.1 , \text{cm} \)
- \( h = 15.1 , \text{cm} \)
Substituting these values into the formula:
\[ \text{Surface Area} = 2(15.1 \times 15.1 + 15.1 \times 15.1 + 15.1 \times 15.1) \]
Calculating \( 15.1 \times 15.1 \):
\[ 15.1 \times 15.1 = 228.01 \]
Now substituting this back into the surface area formula:
\[ \text{Surface Area} = 2(228.01 + 228.01 + 228.01) = 2(3 \times 228.01) = 2 \times 684.03 = 1368.06 , \text{cm}^2 \]
Therefore, the surface area of the rectangular prism is:
\[ \boxed{1,368.06 , \text{cm}^2} \]
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