Question

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a company made a storage container with sheet steel walls. the container was in the shape of a rectangular prism, as shown below. suppose the total cost of the sheet steel was $4980. how much did the sheet steel cost per square meter?

Explanation:

Step1: Calculate the surface area of the rectangular prism

The formula for the surface area \(S\) of a rectangular prism with length \(l = 7m\), width \(w=4m\), and height \(h = 5m\) is \(S=2(lw + lh+wh)\).
Substitute the values: \(S = 2(7\times4+7\times5 + 4\times5)\)
First calculate the products inside the parentheses: \(7\times4 = 28\), \(7\times5=35\), \(4\times5 = 20\)
Then sum them: \(28 + 35+20=83\)
Now multiply by 2: \(S=2\times83 = 166m^{2}\)

Step2: Calculate the cost per square - meter

Let the cost per square - meter be \(x\). We know that the total cost is \(4980\) and the area is \(166m^{2}\). Using the formula \(\text{Total Cost}=\text{Cost per square - meter}\times\text{Area}\), we have \(4980=x\times166\)
Solve for \(x\): \(x=\frac{4980}{166}\)
\(x = 30\)

Answer:

\(30\)