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

Question

50 in.
2 50 in.
2
344 in.
2 344 in.
2
252 in.
2 252 in.
2
172 in.
2

Answer 1

To find the surface area of a rectangular prism (like a textbook), you can use the formula:

$$\text{Surface Area}=2lw+2lh+2wh$$

where:

• $l$ is the length,
• $w$ is the width,
• $h$ is the height.

For the given dimensions of the textbook:

• $l=14$ in,
• $w=9$ in,
• $h=2$ in.

Now substituting these values into the formula:

$$\text{Surface Area}=2(14)(9)+2(14)(2)+2(9)(2)$$

Calculating each term:

1. $2(14)(9)=2\times 126=252$
2. $2(14)(2)=2\times 28=56$
3. $2(9)(2)=2\times 18=36$

Now adding these values together:

$$\text{Surface Area}=252+56+36=344,{\text{in}}^2$$

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