Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer. 6 yd 7 yd 4 yd

Explanation:

Step1: Calculate the area of each pair of faces

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

Step2: Substitute into the surface - area formula

\(S=2(28 + 42+24)\)
First, add the values inside the parentheses: \(28+42 + 24=94\) \(yd^{2}\)
Then, multiply by 2: \(S = 2\times94\)

Answer:

\(188\ yd^{2}\)