To find the surface area of a rectangular prism (like a textbook), 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 given dimensions:
- Length (l) = 14 inches
- Width (w) = 2 inches
- Height (h) = 9 inches
Now we can plug in the values:
\[ lw = 14 \times 2 = 28 \text{ in}^2 \] \[ lh = 14 \times 9 = 126 \text{ in}^2 \] \[ wh = 2 \times 9 = 18 \text{ in}^2 \]
Now, sum these areas:
\[ lw + lh + wh = 28 + 126 + 18 = 172 \text{ in}^2 \]
Now, multiply by 2 to find the surface area:
\[ \text{Surface Area} = 2 \times 172 = 344 \text{ in}^2 \]
Therefore, the surface area of the textbook is 344 in². However, it seems that this value does not match any of the options you provided. Please ensure that the dimensions are correct or provide additional context if needed.
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