Question

ivan built a large wooden storage box. the box was in the shape of a rectangular prism, as shown below. he covered all the sides of the box with special wallpaper that cost a total of $522. how much did the wallpaper cost per square foot?

Explanation:

Step1: Calculate the surface area of the rectangular prism

The formula for the surface area of a rectangular prism is \(S = 2(lw+lh + wh)\), where \(l = 3\) ft, \(w = 5\) ft, \(h=9\) ft.

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Step2: Calculate the cost per square - foot

Let the cost per square - foot be \(x\). We know that the total cost is \(\$522\) and the surface area \(S = 174\) square feet. Using the formula \(Total\ cost=Cost\ per\ square - foot\times Surface\ area\), we have \(522=174x\). Solving for \(x\), we get \(x=\frac{522}{174}=3\).

Answer:

\(3\)