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Muahahaha45
Apr 8, 2007, 08:25 PM
Well its my first time using this and I hope I get the answer pretty quick
I'm doing a project of this and I made it out of wood... and I need to find the S A of a icosahedron... and the side length of 1 of the triangles is 4 inches...

I'm kind of lost on how to do this and help would be appriated (Sorry for spelling)

Capuchin
Apr 9, 2007, 04:46 AM
SA = 5 \sqrt{3} a^2

where a is the length of one of the sides.

asterisk_man
Apr 9, 2007, 09:52 AM
(same as capuchin but with more tasty explanation goodness)
a regular icosahedron is made of 20 equilateral triangles.
the area of an equilateral triangle is \frac {\sqrt 3 a^2} 4 and since you have 20 of them the surface area of an icosahedron is 20 * \frac {\sqrt 3 a^2} 4 = 5 \sqrt 3 a^2