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de HH.5 Volume of triangular prisms 6ZL
A triangular prism is 5 meters long and has a triangular face with a base of 9 meters and
height of 15 meters. What is the volume of the triangular prism?



Answer :

sqdancefan

Answer:

  337.5 m³

Step-by-step explanation:

You want the volume of a triangular prism with a triangular base that is 9 m wide and 15 m high, if the prism is 5 m long.

Volume

The volume can be found from ...

  V = BH

where B is the area of the triangular base, and H is the distance between those bases.

The area of the triangular base is ...

  B = 1/2bh

where b is the base of the triangle, and h is its height.

Together, these formulas give the volume as ...

  V = (1/2bh)H

  V = 1/2(9 m)(15 m)(5 m) = 337.5 m³

The volume of the triangular prism is 337.5 cubic meters.

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