Question

surface area =
surface area =

Explanation:

Step1: Calculate the surface area of the first prism (problem 8)

The formula for the surface area of a prism \(SA = 2B+Ph\), where \(B\) is the area of the base, \(P\) is the perimeter of the base, and \(h\) is the height (length of the prism).
For the first prism:

• The base is a rectangle with length \(l = 5.4\) in and width \(w=6.7\) in. So, \(B=l\times w=5.4\times6.7 = 36.18\) \(in^{2}\)
• The perimeter of the base \(P = 2(l + w)=2(5.4 + 6.7)=2\times12.1 = 24.2\) in
• The height (length of the prism) \(h = 13.1\) in

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Step2: Calculate the surface area of the second prism (problem 9)

For the second prism:

• The base is a rectangle with length \(l = 4.2\) ft and width \(w = 8\) ft. So, \(B=l\times w=4.2\times8=33.6\) \(ft^{2}\)
• The perimeter of the base \(P=2(l + w)=2(4.2+8)=2\times12.2 = 24.4\) ft
• The height (length of the prism) \(h = 14.5\) ft

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Answer:

1. \(389.38\space in^{2}\)
2. \(421\space ft^{2}\)