To find the surface area of a rectangular prism (which a textbook can be approximated as), we can use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where \( l \), \( w \), and \( h \) are the length, width, and height of the prism.
For the textbook with dimensions of \( 2 , \text{in} \) (width), \( 14 , \text{in} \) (length), and \( 9 , \text{in} \) (height), we have:
- \( l = 14 \) in
- \( w = 2 \) in
- \( h = 9 \) in
Now, we can calculate each term in the formula:
- \( lw = 14 \times 2 = 28 \)
- \( lh = 14 \times 9 = 126 \)
- \( wh = 2 \times 9 = 18 \)
Now, add these areas together:
\[ lw + lh + wh = 28 + 126 + 18 = 172 \]
Now multiply by 2 to get the total surface area:
\[ \text{Surface Area} = 2(172) = 344 , \text{in}^2 \]
Thus, the surface area of the textbook is \( 344 , \text{in}^2 \).
The correct response is: 344 in.² (or 344 in. squared)