Question

4 ft
19 ft
13 ft
surface area = ____

Explanation:

Step1: Recall surface - area formula for rectangular prism

The formula for the surface area \(S\) of a rectangular prism is \(S = 2(lw+lh + wh)\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height. Here, \(l = 13\) ft, \(w = 4\) ft, and \(h = 19\) ft.

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

\(lw=13\times4 = 52\) square - feet, \(lh = 13\times19=247\) square - feet, \(wh = 4\times19 = 76\) square - feet.

Step3: Calculate \(lw + lh+wh\)

\(lw + lh+wh=52 + 247+76=375\) square - feet.

Step4: Calculate the surface area

\(S = 2\times375=750\) square - feet.

Answer:

750 square feet