Question

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

Explanation:

Step1: Recall the surface area formula

The surface area formula of a rectangular prism is \(S = 2(ab+bc + ac)\), where \(a\), \(b\), and \(c\) are the length, width, and height of the prism. Here \(a = 9\) ft, \(b = 5\) ft, \(c=7\) ft.

Step2: Calculate \(ab\), \(bc\), and \(ac\)

• \(ab=9\times5 = 45\)
• \(bc = 5\times7=35\)
• \(ac=9\times7 = 63\)

Step3: Calculate \(ab + bc+ac\)

\(ab + bc + ac=45 + 35+63=143\)

Step4: Calculate \(2(ab + bc + ac)\)

\(S=2\times143 = 286\)

Answer:

\(286\) square feet