To find the surface area of a rectangular prism, you can use the formula:
\[ \text{Surface Area} = 2lw + 2lh + 2wh \]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism.
In this case, based on your description, let's assign:
- \( l = 9 , \text{in} \)
- \( w = 4 , \text{in} \)
- \( h = 3 , \text{in} \)
Now substitute these values into the formula:
\[ \text{Surface Area} = 2(9)(4) + 2(9)(3) + 2(4)(3) \]
Calculating each part step-by-step:
- \( 2(9)(4) = 72 \)
- \( 2(9)(3) = 54 \)
- \( 2(4)(3) = 24 \)
Now add these together:
\[ \text{Surface Area} = 72 + 54 + 24 = 150 , \text{in}^2 \]
Therefore, the surface area of the rectangular prism is:
150 in²