To find the surface area of a rectangular prism (which is the shape of the textbook in this case), we can use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.
In this case, the dimensions of the textbook are:
- \( l = 2 \) inches,
- \( w = 14 \) inches,
- \( h = 9 \) inches.
Now let's calculate each part:
-
Calculate \( lw \): \[ lw = 2 \times 14 = 28 , \text{in}^2 \]
-
Calculate \( lh \): \[ lh = 2 \times 9 = 18 , \text{in}^2 \]
-
Calculate \( wh \): \[ wh = 14 \times 9 = 126 , \text{in}^2 \]
Now, substitute these values back into the surface area formula:
\[ \text{Surface Area} = 2(28 + 18 + 126) \]
First, add the values inside the parentheses:
\[ 28 + 18 + 126 = 172 \]
Now substitute back into the formula:
\[ \text{Surface Area} = 2 \times 172 = 344 , \text{in}^2 \]
Thus, the surface area of the textbook is:
\[ \boxed{344 , \text{in}^2} \]