SOLUTION: The steeple of a building is in the shape of a regular pyramid with a triangular base.Each of the 3 base sides is 4.6 meters long,and the steeple is 7.0 meters high. Compute the nu

Question 159331: The steeple of a building is in the shape of a regular pyramid with a triangular base.Each of the 3 base sides is 4.6 meters long,and the steeple is 7.0 meters high. Compute the number of cubic meters of air space contained in the steeple. Round the answer to the nearest cubic meter.
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
volume of a pyramid is where B is the area of the base and h is the altitude.
the base is an equilateral triangle.
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area of an equilateral triangle is where s is one of the equal sides of the triangle.
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triangle:
s = 4.6 meters (given)
area = = 9.162548772
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pyramid:
B = 9.162548772
h = 7 meters (given)
volume = = 21.37928047
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cubic meters of air space contained in the steeple is 21.

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