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Quick help with Math

Blogs > rushz0rz
Post a Reply
1 2 Next All
rushz0rz
Profile Blog Joined February 2006
Canada5300 Posts
Last Edited: 2010-11-28 08:40:57
September 17 2008 05:54 GMT
#1


*
IntoTheRainBOw fan~
yubee
Profile Blog Joined May 2006
United States3826 Posts
Last Edited: 2008-09-17 05:59:53
September 17 2008 05:57 GMT
#2
You're looking at the year the wrong way, I think. It's not the year 1982 that's important, but the difference between that year and the current year.

Also, the diameter of the sphere would be the hypotenuse of one side of the cube, wouldn't it? I dunno fuck geometry. geometryb is cool though.
intrigue
Profile Blog Joined November 2005
Washington, D.C9933 Posts
Last Edited: 2008-09-17 06:03:37
September 17 2008 05:59 GMT
#3
did you even try? the first one took a minute with guess and check via calculator, not even gonna bother looking at the second.

edit: not trying to be a dick here but the second one is basic, basic basic basic geometry. please put some effort into this!
Moderatorhttps://soundcloud.com/castlesmusic/sets/oak
alphafuzard
Profile Blog Joined June 2007
United States1610 Posts
September 17 2008 06:10 GMT
#4
On September 17 2008 14:57 yubee wrote:
You're looking at the year the wrong way, I think. It's not the year 1982 that's important, but the difference between that year and the current year.

Also, the diameter of the sphere would be the hypotenuse of one side of the cube, wouldn't it? I dunno fuck geometry. geometryb is cool though.

not the hypotenuse but the space diagonal of the cube
since the diameter is 12 cm which = the space diagonal = side length x root 3
thus the side length is 12/root 3 which simplified is 12 root3/root3 squared = 4 root 3
if you cant figure out the volume with the side length then leap off a bridge right now
more weight
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
September 17 2008 06:17 GMT
#5
On September 17 2008 14:54 rushz0rz wrote:
I have 2 problems due tomorrow and I suck severely at word problems like this.

1. If Old Uncle Tom were still alive he would be over 100 years old. He was x years old in the year x^2. Which birthday did he celebrate in 1982?

Now I'm thinking it has to be in the form x^2 + x + 1982 or something? Or am I completely wrong?

2. A cube rests inside a sphere so that each vertex touches the sphere. If the inner radius of the sphere is 6cm, then what is the exact volume of the cube in cm^3?

The opposite right angles would each be diameter, so 12cm?



Ok hints only cause this should be ez... (actually I guess it depends on your year in school)

1) 1982 is importantish insofar as it gives you a convenient number to start experimenting with. In the end, it shouldn't be important, assuming I did the mental math correctly. Also assuming now is referring to 2008 and its not an old textbook (but that also shouldn't be important)

Oh yea, there are many many answers btw lol. It's more entertaining if you assume Old Uncle Tom is Old Immortal Uncle Tom. :-)

2) Draw it out and it becomes very obvious.
rushz0rz
Profile Blog Joined February 2006
Canada5300 Posts
Last Edited: 2010-11-28 08:41:06
September 17 2008 06:19 GMT
#6
IntoTheRainBOw fan~
HeavOnEarth
Profile Blog Joined March 2008
United States7087 Posts
September 17 2008 06:22 GMT
#7

The opposite right angles would each be diameter, so 12cm?


...problem CLEARLY states

what is the exact volume of the cube in cm^3?


just think about it lol
"come korea next time... FXO house... 10 korean, 10 korean"
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
September 17 2008 06:23 GMT
#8
So you have your sphere, and the cube fits perfectly inside. Then what does the main interior diagonal of the cube equal, in terms of length? (And yes, calling it main and interior at the same time is redundant i know.)
rushz0rz
Profile Blog Joined February 2006
Canada5300 Posts
Last Edited: 2010-11-28 08:41:19
September 17 2008 06:24 GMT
#9
IntoTheRainBOw fan~
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
September 17 2008 06:25 GMT
#10
Oh, and 90 is correct for #1. Although technically, so is 1980 :-)

And a variety of other answers.
HeavOnEarth
Profile Blog Joined March 2008
United States7087 Posts
September 17 2008 06:25 GMT
#11
i think i did the second one in my head in under <10 seconds =/
"come korea next time... FXO house... 10 korean, 10 korean"
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
September 17 2008 06:25 GMT
#12
Yes, the main diagonal is 12 cm. It's clearly the diameter of the circle yes?
HeavOnEarth
Profile Blog Joined March 2008
United States7087 Posts
Last Edited: 2008-09-17 06:26:51
September 17 2008 06:25 GMT
#13
u need to multiply Length x Width x Height = Volume
Hence cm x cm x cm = cm^3
here's a hint , the length , width and height of a cube, ARE ALL THE SAME
shit O_o
"come korea next time... FXO house... 10 korean, 10 korean"
rushz0rz
Profile Blog Joined February 2006
Canada5300 Posts
Last Edited: 2010-11-28 08:41:33
September 17 2008 06:27 GMT
#14
IntoTheRainBOw fan~
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
September 17 2008 06:27 GMT
#15
Oh don't spoil the answer of 1728/(3sqrt(3)) HeavOnEarth ;-(

Of course my mental math is extremely inconsistent at this time of morning....
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
September 17 2008 06:28 GMT
#16
And no it's not 12^3, 12 is the main diagonal of the cube, not the length of a side.
HeavOnEarth
Profile Blog Joined March 2008
United States7087 Posts
September 17 2008 06:28 GMT
#17
2. A cube rests inside a sphere so that each vertex touches the sphere. If the inner radius of the sphere is 6cm, then what is the exact volume of the cube in cm^3?

define vertex and radius of spheeer. , i gave u formula for volume
"come korea next time... FXO house... 10 korean, 10 korean"
EtherealDeath
Profile Blog Joined July 2007
United States8366 Posts
September 17 2008 06:30 GMT
#18
Basically to find the length of a side, consider the fact that the main interior diagonal of the cube is the hypotenuse of a certain triangle within the cube, namely one that incorporates one of the sides in it. From this the result should follow.

Of course you could be cute and calculate the volume of the cube directly from the radius of the circle, but that would be rote memorization :-D

(Which has its purposes, everywhere :-o)
HeavOnEarth
Profile Blog Joined March 2008
United States7087 Posts
Last Edited: 2008-09-17 06:32:30
September 17 2008 06:31 GMT
#19
On September 17 2008 15:27 EtherealDeath wrote:
Oh don't spoil the answer of 1728/(3sqrt(3)) HeavOnEarth ;-(

Of course my mental math is extremely inconsistent at this time of morning....

oh i just do uh whatever that property of multiplication is called where instead of 144 x 12,
you do ( 144 x 2 )+( 144x 10)= ~, 144 x 2 , 288 ,easy in head, 144 x 10, 1440, easy in head, so add them


... 1440
...+ 288 = 1728, carry the one :p
"come korea next time... FXO house... 10 korean, 10 korean"
HeavOnEarth
Profile Blog Joined March 2008
United States7087 Posts
Last Edited: 2008-09-17 06:34:12
September 17 2008 06:33 GMT
#20
On September 17 2008 15:27 rushz0rz wrote:
Show nested quote +
On September 17 2008 15:25 HeavOnEarth wrote:
u need to multiply Length x Width x Height = Volume
Hence cm x cm x cm = cm^3
here's a hint , the length , width and height of a cube, ARE ALL THE SAME
shit O_o


so it is 12cm^3 ?? maybe im making it out to be more complicated than it actually is...

QFT; but really i'm not patronizing you, i just want you to understand the basics around it, it's pretty hard if u don't get the big generalization (big picture)
"come korea next time... FXO house... 10 korean, 10 korean"
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