Question

(a) find the following side lengths for the net.
a = 10 ft
b = 2 ft
c = 7 ft
d = 7 ft
(b) use the net to find the surface area of the prism.
ft²

Explanation:

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

The surface area of a prism \(S = 2\times(\text{area of base})+\text{lateral surface area}\). For a rectangular - prism - like net (assuming it's a rectangular prism), if the dimensions are \(l\), \(w\), \(h\) (here \(l = 10\) ft, \(w = 2\) ft, \(h = 7\) ft), the formula \(S=2(lw + lh+wh)\) can also be used.

Step2: Calculate each part of the formula

• Calculate \(lw\): \(lw=10\times2 = 20\)
• Calculate \(lh\): \(lh = 10\times7=70\)
• Calculate \(wh\): \(wh=2\times7 = 14\)

Step3: Substitute into the formula

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Answer:

\(208\)