Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer. 3 ft 9 ft 5 ft

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: Identify the values of \(l\), \(w\), and \(h\)

Here, \(l = 9\) ft, \(w = 5\) ft, and \(h=3\) ft.

Step3: Substitute the values into the formula

First, calculate \(lw\), \(lh\), and \(wh\):

• \(lw=9\times5 = 45\)
• \(lh=9\times3=27\)
• \(wh = 5\times3=15\)

Then, \(lw+lh+wh=45 + 27+15=87\)

Finally, \(S = 2\times87\)

Answer:

\(174\mathrm{ft}^{2}\)