Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer. 6m 9m 7m

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, \(l = 9\space m\), \(w=7\space m\), and \(h = 6\space m\).

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

• \(lw=9\times7 = 63\space m^{2}\)
• \(lh=9\times6=54\space m^{2}\)
• \(wh=7\times6 = 42\space m^{2}\)

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

\(lw+lh + wh=63 + 54+42=159\space m^{2}\)

Step5: Calculate the surface area \(S\)

Since \(S = 2(lw + lh+wh)\), then \(S=2\times159 = 318\space m^{2}\)

Answer:

\(318\space m^{2}\)