Question

find the surface area of the prism. sa =? cm²

Explanation:

Step1: Recall the formula for the 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: Identify the values of \(l\), \(w\), and \(h\)

Here, \(l = 12\space cm\), \(w=6\space cm\), and \(h = 9\space cm\).

Step3: Substitute the values into the formula

First, calculate \(lw\), \(lh\), and \(wh\):

• \(lw=12\times6 = 72\)
• \(lh=12\times9=108\)
• \(wh=6\times9 = 54\)

Then, \(lw+lh+wh=72 + 108+54=234\)

Finally, \(SA = 2\times234\)

Step4: Calculate the final value

\(SA=468\)

Answer:

\(468\)