Question

Find the surface area of a textbook that is 2 in. × 14 in. × 9 in. (1 point) Responses 252 in.2 252 in. squared 50 in.2 50 in.

Answer 1

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.