Find the volume of an equilateral triangular prism with triangles of side 4 cm and length 10 cm

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Find the volume of an equilateral triangular prism with triangles of side 4 cm and length 10 cm

Mathematics
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i know it is area X height, but im not sure how to get the 2.
it's actually V = (1/2)base*length*height
but how would you get the correct answer?

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is that really how the question is worded? exactly?
oh wait.. sorry i get it now
oh
because i read and saw that to get the volume of a triangular prism it said area X height
|dw:1328743809480:dw| seeing this you find the only thing you have to find is the height so.. chop the triangle in half ! |dw:1328743948170:dw|
so what would the height be?
are you familiar with pythagorus theorem? excuse my spelling
yes im familiar but i just forget it
well if i give you the equation : 2^2+h^2=4^2 will you be able to solve that in terms of h?
then would h be 2?
no.. it's a little deeper than that first square the terms you know 2^2 =4 and 4^2 = 16 so.. 4+h^2=16
or h^2=12
oh so h=6?
not quite h^2 means h squared. and the only way to do that is to take the square root of both sides so. \[\sqrt(h^2)=\sqrt12\] \[h=\sqrt(12)\] now if you know how to do that on your calculator, that will be your value for h, or the height. then you can use that in the original equation i showed you to come up with your final answer!
TY SO MUCH :)

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