To find the surface area of a right rectangular prism (also known as a cuboid), 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. Since all edge lengths are equal in this case (the prism is a cube), we have:
- \( l = 15.10 , \text{cm} \)
- \( w = 15.10 , \text{cm} \)
- \( h = 15.10 , \text{cm} \)
Substituting these values into the surface area formula gives:
\[ \text{Surface Area} = 2(15.10 \times 15.10 + 15.10 \times 15.10 + 15.10 \times 15.10) \]
Calculating \( 15.10 \times 15.10 \):
\[ 15.10 \times 15.10 = 228.01 , \text{cm}^2 \]
Now substituting this value back into the formula:
\[ \text{Surface Area} = 2(228.01 + 228.01 + 228.01) = 2(684.03) = 1368.06 , \text{cm}^2 \]
Thus, the surface area of the right rectangular prism is:
1,368.06 cm² (or 1,368.06 cm2).