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A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is formed by the prism and a plane that intersects the prism as shown. Find the perimeter of the cross section.

Respuesta :

Answer:

The perimeter of the cross section is 30 centimeters.

Step-by-step explanation:

In this problem we have the intersection of a rectangular prism an a plane.

The dimensions of the rectangular plane are

[tex]l=12cm\\w=6cm\\h=9cm[/tex]

Assuming the plane is cutting the prism horizontally, the cross section would have dimensions

[tex]w=6cm\\l=9cm[/tex]

Because only the height would be cut.

So, the perimeter of the rectangle cross-section is

[tex]P_{cross}=2(l+w)=2(6+9)=2(15)=30cm[/tex]

Therefore, the perimeter of the cross section is 30 centimeters.

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