Question

(a) find the following side lengths for the net.

a = 9 yd

b = 2 yd

c = 5 yd

d = 2 yd

(b) use the net to find the surface area of the prism.

\\( \square \mathrm { yd } ^ { 2 } \\)

Explanation:

Step1: Identify the formula for the surface area of a rectangular prism

The surface area \(S\) of a rectangular prism is given by \(S = 2(ab+bc + ac)\), where \(a\), \(b\), and \(c\) are the side - lengths of the prism. From part (a), we have \(a = 9\) yd, \(b = 2\) yd, and \(c = 5\) yd.

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

• Calculate \(ab\): \(ab=9\times2 = 18\)
• Calculate \(bc\): \(bc = 2\times5=10\)
• Calculate \(ac\): \(ac=9\times5 = 45\)

Step3: Substitute into the surface - area formula

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Answer:

\(146\)