Question

what is the approximate surface area of a box that is 8 inches wide, 12 inches long, and 9 inches tall?
a 276 sq. in.
b 444 sq. in.
c 456 sq. in.
d 552 sq. in.

Explanation:

Step1: Recall the formula for the surface area of a rectangular prism

The formula for the surface area \(S\) of a rectangular prism with length \(l\), width \(w\), and height \(h\) is \(S = 2(lw+lh + wh)\).

Step2: Substitute the given values into the formula

Here, \(l = 12\) inches, \(w = 8\) inches, and \(h=9\) inches.
First, calculate \(lw\): \(lw=12\times8 = 96\).
Then, calculate \(lh\): \(lh = 12\times9=108\).
Next, calculate \(wh\): \(wh=8\times9 = 72\).
Now, find \(lw+lh+wh\): \(96 + 108+72=276\).
Finally, multiply by 2: \(S=2\times276 = 552\) square inches.

Answer:

D. 552 sq. in.