Question

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

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, \(l = 8\) in, \(w=3\) in, \(h = 5\) in.

Step3: Substitute the values into the formula

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

• \(lw=8\times3 = 24\)
• \(lh=8\times5=40\)
• \(wh=3\times5 = 15\)

Then, \(lw+lh+wh=24 + 40+15=79\)

Now, \(S=2\times79\)

Step4: Calculate the final result

\(S = 158\)

Answer:

\(158\) square inches