Question

1. 12 ft 7 ft 2 ft surface area = ____________

Explanation:

Step1: Identify 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.

Step2: Assign values to the variables

Given \(l = 12\) ft, \(w = 2\) ft, and \(h = 7\) ft.

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

\(lw=12\times2 = 24\) square - feet, \(lh = 12\times7=84\) square - feet, \(wh=2\times7 = 14\) square - feet.

Step4: Calculate \(lw + lh+wh\)

\(lw+lh + wh=24 + 84+14=122\) square - feet.

Step5: Calculate the surface area

\(SA = 2\times122=244\) square - feet.

Answer:

244 square - feet