Question

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

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 \(S = 2(lw+lh + wh)\). Here, \(l = 4\space m\), \(w=3\space m\), and \(h = 8\space m\).

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

• \(lw=4\times3 = 12\space m^{2}\)
• \(lh=4\times8=32\space m^{2}\)
• \(wh=3\times8 = 24\space m^{2}\)

Step3: Substitute into the formula

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Answer:

\(136\space m^{2}\)