Answered

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A company makes storage containers with sheet steel walls. The containers are shaped like rectangular prisms, as shown below. If the company is going to make 10 containers, how many square meters of sheet steel will be needed

Sagot :

MrRoyal

Answer:

[tex]2360m^2[/tex] of sheet steel are needed

Step-by-step explanation:

Given

The missing dimensions are:

[tex]Length = 5m[/tex]

[tex]Width = 6m[/tex]

[tex]Height = 8m[/tex]

[tex]n=10[/tex] --- number of containers

Required

The surface area of all containers

First, we calculate the surface area (A) of 1 container

[tex]A=2*(Length * Width + Length * Height + Width * Height)[/tex]

[tex]A=2*(5m* 6m+ 5m* 8m+ 6m * 8m)[/tex]

[tex]A=2*(30m^2 + 40m^2 + 48m^2)[/tex]

[tex]A=2*(118m^2)[/tex]

[tex]A=236m^2[/tex]

The surface area of 10 is:

[tex]Area = 10 * A[/tex]

[tex]Area = 10 * 236m^2[/tex]

[tex]Area = 2360m^2[/tex]

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