Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

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

Question

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

Explanation:

Step1: Recall the surface area formula

The surface area formula for a rectangular prism is \(SA = 2(lw+lh + wh)\), where \(l\) is length, \(w\) is width, and \(h\) is height. Here, \(l = 120\) ft, \(w=80\) ft, \(h = 60\) ft.

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

  • \(lw=120\times80 = 9600\)
  • \(lh=120\times60=7200\)
  • \(wh=80\times60 = 4800\)

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

\(lw+lh+wh=9600 + 7200+4800=21600\)

Step4: Multiply by 2

\(SA=2\times21600 = 43200\)

Answer:

\(43200\)