To calculate the surface area of a rectangular suitcase, use the formula for the surface area \(S\) of a rectangular prism:
\[ S = 2(lw + lh + wh) \]
where \(l\) is the length, \(w\) is the width, and \(h\) is the height.
Given:
- Length \(l = 9.5\) inches
- Width \(w = 16\) inches
- Height \(h = 22.5\) inches
Now, calculate each of the areas:
- \(lw = 9.5 \times 16 = 152\) in²
- \(lh = 9.5 \times 22.5 = 213.75\) in²
- \(wh = 16 \times 22.5 = 360\) in²
Now, sum these areas:
\[ lw + lh + wh = 152 + 213.75 + 360 = 725.75 \text{ in}² \]
Finally, multiply this sum by 2 to find the total surface area:
\[ S = 2 \times 725.75 = 1451.5 \text{ in}² \]
Thus, the surface area of the suitcase is 1,451.5 in.².
The correct response is 1,451.5 in.².