a company made a storage container with sheet steel walls. the container was in the shape of a rectangular…
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?
Answer
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)