To find 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. Since each edge length measures 12.75 cm, this means \( l = w = h = 12.75 \) cm.
Now let's calculate the surface area:
- Calculate \( lw \), \( lh \), and \( wh \):
\[ lw = 12.75 \times 12.75 = 162.5625 , \text{cm}^2 \]
\[ lh = 12.75 \times 12.75 = 162.5625 , \text{cm}^2 \]
\[ wh = 12.75 \times 12.75 = 162.5625 , \text{cm}^2 \]
- Now add these values together:
\[ lw + lh + wh = 162.5625 + 162.5625 + 162.5625 = 487.6875 , \text{cm}^2 \]
- Finally, multiply by 2 to get the surface area:
\[ \text{Surface Area} = 2 \times 487.6875 = 975.375 , \text{cm}^2 \]
Rounding to two decimal places gives:
\[ \text{Surface Area} = 975.38 , \text{cm}^2 \]
Therefore, the correct answer is:
975.38 cm²
1 answer