Question

linda is going to build a large wooden storage box. the box will be in the shape of a rectangular prism, as shown below. she wants to cover all the sides of the box with special wallpaper that costs $2 per square foot. how much will the wallpaper cost in total?

Explanation:

Step1: Calculate the surface area of the rectangular prism

The formula for the surface area \(S\) of a rectangular prism with length \(l\), width \(w\), and height \(h\) is \(S = 2(lw+lh + wh)\).
Here, \(l = 7\) ft, \(w = 3\) ft, \(h=6\) ft.

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Step2: Calculate the total cost

The cost per square - foot is \(\$2\).
The total cost \(C\) is \(C=\text{Cost per square - foot}\times\text{Surface area}\).
\(C = 2\times162=\$324\)

Answer:

\(324\)