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makkiz [27]
3 years ago
8

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 $ 4392 . How much did the sheet steel cost per square meter?

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

The missing figure is attached

Answer:

The sheet steel costed $22.41 per square meter

Step-by-step explanation:

<em>To find the cost per square units find the lateral area (they will made the walls only) of the rectangular prism and divide the cost of the steel sheet by it</em>

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

∵ The length of the base is 9 m

∵ The width of the base is 5 m

∵ The height of the prism is 7 m

- Find the perimeter of the base

∵ Perimeter of base = 2(length + width)

- Substitute the values of the length and the width

∴ Perimeter of base = 2(9 + 5) = 28 m

Now use the formula of the lateral area to get it

∵ LA = 28 × 7

∴ LA = 196 m²

Let us find the cost per square meter

∵ The total cost of the sheet steel was $4392

∵ The lateral area of the container is 196 m²

- Divide the cost by the lateral area

∴ The unit cost = 4392 ÷ 196

∴ The unit cost = 22.41 dollars to the nearest cent

The sheet steel costed $22.41 per square meter

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