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does anyone have any good material on geometry esp on

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Joined: 28 Dec 2004
Posts: 3342
Location: New York City
Schools: Wharton'11 HBS'12
does anyone have any good material on geometry esp on [#permalink]

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New post 06 Nov 2008, 09:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

does anyone have any good material on geometry esp on surface area of 3d objects, volumes, inscribed objects etc.. maybe we can make this a sticky??

I will get started here with some useful formulas to remember

Surface Area

Surface area of a cube=6*a^2 (where a is the side)
surface area of a rectangular box=2ab+2bC+2ac
Surface area of sphere=4*pi*r^2
Surface area of cylinder= 2pi*r^2 + 2pi*r*h

Volume

Cube=a^3
rectangle=a*b*c
cylinder=pi*r^2*h
cone=1/3*pi*r^2*h
pyramid=1/3*B*H
sphere=4/3*pi*r^3

OK, I do remember seeing a question on my exam asking for the comparison of surface area of cone to a cylinder...I have no memory what the surface area of cone is?
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Location: california
Re: Geometery: Surface areas, volume, angles, inscribed etc [#permalink]

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New post 07 Nov 2008, 00:29
you made me think re: the surface area of a cone...
it is area of the circular base = pi r^2 + pi x r x (length of the side)

also found the below link with math formulae for some common shapes. HTH

http://math.about.com/library/blmeasurement.htm
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Re: Geometery: Surface areas, volume, angles, inscribed etc [#permalink]

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New post 07 Nov 2008, 01:02
I look at the surface area of a cone as below.

If r is the radius of the base and h is the height of the cone then \(sqrt{r^2 + h^2}\) will be the slanted height of the cone. Now, the side area of cone is actually the area of a circle with the radius as the slanted height of the cone. Hence, we can find this area and add to the area of the base.
Re: Geometery: Surface areas, volume, angles, inscribed etc   [#permalink] 07 Nov 2008, 01:02
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does anyone have any good material on geometry esp on

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