SOLUTION: a triangular pyramid has base edges that each measure 14 meters and a slant height that measures20 meters what is the surface area of the pyramid? Hint: the height of the equilater

Algebra ->  Surface-area -> SOLUTION: a triangular pyramid has base edges that each measure 14 meters and a slant height that measures20 meters what is the surface area of the pyramid? Hint: the height of the equilater      Log On


   

Question 875466: a triangular pyramid has base edges that each measure 14 meters and a slant height that measures20 meters what is the surface area of the pyramid? Hint: the height of the equilateral triangle that is the base is 12.1 meters
Answer by Theo(13342) About Me  (Show Source):
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base is an equilateral triangle with a height of 12.1244
area of the base is equal to 1/2 * b * h which is equal to 1/2 * 14 * 12.1244 which is equal to 84.8708
the triangular pyramid has 3 faces.
each face has a height of 20 and a base of 14.
area of each face is equal to 1/2 * 14 * 20 = 140
the sum of the area of the faces is equal to 3 * 140 = 420
the total surface area is equal to the area of the base plus the area of the faces which is equal to 87.8708 + 420 which is equal to 504.8708 which rounds to 504.9 if you want the answer to one decimal place.
see the picture below:
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