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Mathematics 14 Online
OpenStudy (anonymous):

Sixth Question Of The Day (S.Q.O.T.D.)

OpenStudy (anonymous):

OpenStudy (anteater):

Did I miss the fifth one?

OpenStudy (anonymous):

Yes.

OpenStudy (anteater):

Been looking for it!

OpenStudy (anteater):

On this one: http://easycalculation.com/area/learn-hexa-pyramid.php Volume of a pyramid is 1/3 base X height, and so we need the base of this one.

OpenStudy (anteater):

See now, I'm having to look things up because I don't remember all of the formulas either. :D

OpenStudy (anteater):

I think wolfram alpha is reliable: http://mathworld.wolfram.com/HexagonalPyramid.html So here they are saying that the volume of a hexagonal right pyramid is 1/2 times sqrt 3 times height times apothem.

OpenStudy (anteater):

Just a moment, please. I am going to make sure I've got this one figured first!

OpenStudy (anteater):

So ... area of a hexagon is what we need. And we have a regular hexagon with a side of 4.

OpenStudy (anteater):

|dw:1401747509313:dw|

OpenStudy (anteater):

So the base is 24 sqrt 3 in area

OpenStudy (anteater):

and we need to multiply that times 1/3 and times the height which is 4 sqrt 3 So, 1/3 times 24 sqrt 3 times 4 sqrt 3

OpenStudy (anonymous):

96 sqrt3 cm^3

OpenStudy (anteater):

So 8 sqrt 3 times 4 sqrt 3 = 32 times 3 = 96

OpenStudy (anonymous):

Or just 96 cm^3?

OpenStudy (anteater):

I think it is just 96 cm^3, because

OpenStudy (anteater):

Yes, just 96, because 1/3 times 24 sqrt 3 gives you 8 sqrt 3 and then 8sqrt3 times 4 sqrt 3 gives

OpenStudy (anteater):

32 times the sqrt 3 squared

OpenStudy (anonymous):

Okay.

OpenStudy (anteater):

which would be 36 X 3 or 96

OpenStudy (anonymous):

Okay, I tagged you on another question.

OpenStudy (anteater):

Problem is, I remember the really simple formulas and then derive the other stuff! Sorry that took so long. :)

OpenStudy (anonymous):

That's fine, I was enjoying my food.

OpenStudy (anonymous):

While I was looking at your comments.

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