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Can someone help me find the volume of this?

Can Someone Help Me Find The Volume Of This class=

Sagot :

Brygod45
The answer is 194.4 cubic units
sqdancefan

Answer:

  97.2 m³

Step-by-step explanation:

The volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.

  V = 1/2LWH

  V = 1/2(9 m)(7.2 m)(3 m) = 97.2 m³

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Additional comment

The relation we used above comes from the more general formula for the volume of a prism:

  V = Bh

where B is the area of the base.

You know a rectangular base will have an area of ...

  A = bh

and a triangle with the same base and height will have an area of ...

  A = 1/2bh

That is, the base area of a triangle is half that of a rectangle with the same dimensions. When we use this fact in the volume formula, we find the volume of a triangular prism is 1/2 that of a rectangular prism with the same length, width, and height.

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