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#1 2017-09-26 12:56:09

CIV
Member
Registered: 2014-11-09
Posts: 68

Help with solving the volume of a right triangular pyramid.

There's a right triangular pyramid with a lateral surface area of 195 root 3 and a slant height of 13. What's the volume?

That's the problem. I got 150 root 3 u^3 as an answer. A friend of mine got 459.86 u^3.

I saw my friends work. I understand some of it, but other parts not so much. Eventually I'll sit down, when I have more time, and figure out what she did.

I just want to get a third person, or more, to try it for an answer. Thanks.

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#2 2017-09-26 19:38:03

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,138

Re: Help with solving the volume of a right triangular pyramid.

hi CIV,

I'm assuming the three slant faces are equal.  I'm getting 300.root(3) as follows:

Area of one slant face = 65.root(3), therefore length of one side of the base = 10. root(3)

By Pythag. height of the triangular base = 15, therefore distance to centre of gravity of the base = 5.

Therefore height of pyramid = 12

So volume = 1/3 base area x height = 1/3 x 1/2 10 root(3) x 15 x 12 = 300 root(3)

Hope that helps,

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2017-09-27 14:31:15

CIV
Member
Registered: 2014-11-09
Posts: 68

Re: Help with solving the volume of a right triangular pyramid.

Im going to have to sit down and do it again. You, myself, and my friend all got different answers. Thanks Bob.

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#4 2017-09-27 19:12:53

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,138

Re: Help with solving the volume of a right triangular pyramid.

hi CIV,

Your answer and mine only differ by a factor of 2, so I think one of us is correct.  I've looked at mine several times to see if I've forgotten to half something, but I cannot see an error.  That's not to say I'm confident; I often make silly slipups like that.  shame

Please post when you've resolved this so I know where I've gone wrong.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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