Question

Find the surface area of a textbook that is 2 in. x 14 in. x 9 in. (1 point)

50 in.2

172 in.2

252 in.2

344 in.2

Answer 1

To find the surface area of a rectangular prism (in this case, the textbook), you 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.

Given:
- Length (\(l\)) = 14 in.
- Width (\(w\)) = 9 in.
- Height (\(h\)) = 2 in.

Now, substitute the values into the formula:

\[
\text{Surface Area} = 2(14 \times 9 + 14 \times 2 + 9 \times 2)
\]

Calculating each of the products:

1. \(14 \times 9 = 126\)
2. \(14 \times 2 = 28\)
3. \(9 \times 2 = 18\)

Now add these values together:

\[
126 + 28 + 18 = 172
\]

Now, multiply by 2:

\[
\text{Surface Area} = 2 \times 172 = 344 \text{ in}^2
\]

Thus, the surface area of the textbook is \( \boxed{344 \text{ in}^2} \).