Question

what is the surface area of this rectangular prism? sa = ft²

Explanation:

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

The formula for the surface area \(SA\) of a rectangular prism is \(SA = 2(lw+lh + wh)\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height. Here, \(l = 5\) ft, \(w=4\) ft, \(h = 3\) ft.

Step2: Calculate \(lw\), \(lh\), and \(wh\)

• \(lw=5\times4 = 20\)
• \(lh=5\times3=15\)
• \(wh=4\times3 = 12\)

Step3: Sum \(lw\), \(lh\), and \(wh\)

\(lw+lh+wh=20 + 15+12=47\)

Step4: Multiply by 2

\(SA=2\times47 = 94\)

Answer:

\(94\)