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

Question

Responses

252 in.2
252 in. squared

50 in.2
50 in. squared

344 in.2
344 in. squared

172 in.2

Answer 1

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

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

where $l$, $w$, and $h$ are the length, width, and height of the prism.

For the textbook dimensions provided:

• Length ($l$) = 14 in.
• Width ($w$) = 2 in.
• Height ($h$) = 9 in.

Now, plug these values into the formula:

1. Calculate each area component:

   • $lw=14\times 2=28$
   • $lh=14\times 9=126$
   • $wh=2\times 9=18$

2. Add these components together: $$lw+lh+wh=28+126+18=172$$

3. Now multiply by 2 to get the total surface area: $$\text{Surface Area}=2\times 172=344{\text{ in.}}^2$$

Therefore, the surface area of the textbook is 344 in.².