Question

find the total 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. Here, \(l = 25\space cm\), \(w=9\space cm\), \(h = 10\space cm\).

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

• \(lw=25\times9 = 225\space cm^{2}\)
• \(lh=25\times10=250\space cm^{2}\)
• \(wh=9\times10 = 90\space cm^{2}\)

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

\(lw+lh + wh=225 + 250+90=565\space cm^{2}\)

Step4: Calculate \(2(lw + lh+wh)\)

\(SA=2\times565 = 1130\space cm^{2}\)

Answer:

\(1130\)