Question

a rectangular prism can be unfolded into the net shown below. find the total surface area of the rectangular prism.

Explanation:

Step1: Calculate the area of each face

The formula for the surface area of a rectangular prism is \(2(lw + lh+ wh)\), where \(l = 7\) yd, \(w = 6\) yd, \(h = 4\) yd.
First, calculate \(lw\): \(lw=7\times6 = 42\)
Then, calculate \(lh\): \(lh = 7\times4=28\)
Next, calculate \(wh\): \(wh=6\times4 = 24\)

Step2: Substitute into the surface - area formula

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Answer:

\(188\) square yards