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chloepaulino chloepaulino
  • 18-06-2016
  • Mathematics
Answered

find the surface area of the regular pyramid shown to the nearest square meter


can somebody please help i dont understand this problem?

find the surface area of the regular pyramid shown to the nearest square meter can somebody please help i dont understand this problem? class=

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apostboss
apostboss apostboss
  • 18-06-2016

Find the area of the 12 right triangles using A = 1/2bh, and then find the area of the hexagon using the formula 3\(\sqrt{x} 3\)/2(a^2), in which a is referring to one of the sides.

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jhonyy9
jhonyy9 jhonyy9
  • 18-06-2016

so the base is a hexagon with apothem = 9sqrt3 / 2 
and the side adge = 9 m ,the height of a triangular side equal 17 m

area of base = 699sqrt3 /2 / 2 = 681sqrt3 /4 = 243sqrt3 /2 m^2

the lateral area = 6
917/2 = 39*17 = 459 m^2 

total area = 243sqrt3 /2 + 459 m^2

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