SOLUTION: Please help me solve this problem I am getting nowhere with it. The Museu Blau in Barcelona, Spain, is a natural science museum built in the

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Question 946822: Please help me solve this problem I am getting nowhere with it.
The Museu Blau in Barcelona, Spain, is a natural science museum built in the shape of a triangular prism. The building is an equilateral triangle 180 meters on each side and 25 meters high (this is the depth of the prism). The height of each triangle is 156m.
Find the volume of the triangular prism of the Museu Blau.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Each triangle? How many are there?
To get the volume, find the area of the triangle and multiply it by the height.
V=%281%2F2%29bh%2AL
The base is 180 m.
To get the height, use 1/2 the base and height as the legs of a right triangle with the hypotenuse of that triangle equal to the base.
So then,
%28180%2F2%29%5E2%2BH%5E2=180%5E2
H%5E2=%283%2F4%29%28180%29%5E2
H=%28sqrt%283%29%29%2F2%28180%29
H=90sqrt%283%29
So then,
V=%281%2F2%29%28180%29%2890sqrt%283%29%2925
V=202500sqrt%283%29m%5E3