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#1 2013-01-24 07:37:04
- skylor b
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volume and SA of a cube
express the edge length of a cube as a function of the cubes diagonal length d. then express the surface area and volume of the cube as a function of the diagonal length.
1. a function for the edge length of cube is l(d)=?
2. a function for the surface area of a cube is a(d)=?
3.a function for the volume of a cube is v(d)=?
#2 2013-01-24 07:42:31
- bob bundy
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Re: volume and SA of a cube
skylor: You keep posting questions and then give no response to what I'm offering.
Are my posts helpful?
Can you do the problems you have previously posted ?
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#6 2013-01-24 08:06:38
- bob bundy
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Re: volume and SA of a cube
That cannot be right. You are calculating a distance so it should not have a cube term in it.
Take a look at my cube picture below. (I did this for someone else who posted a problem earlier)
You want the length of AG in terms of AB = x
Use Pythagoras to work out EG in triangle EGH.
Then AG in triangle AEG.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#7 2013-01-24 08:14:03
- skylor
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Re: volume and SA of a cube
ok but im confused because there are no numbers. am I just supposed to give the forumula
#9 2013-01-24 08:28:19
- bob bundy
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Re: volume and SA of a cube
hi skylor
am I just supposed to give the forumula
Yes.
l(d) =sqrt(3d)
a(d) = 6s^2
v(d)= d^3
Now you are getting closer.
d is for the diagonal. I'm using x for the side.
So the first should be
So now re-arrange this to get x in terms of d. That will be the formula l(d) for Q1.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#12 2013-01-24 08:43:43
- bob bundy
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Re: volume and SA of a cube
I think it should be sqrt (3x)
I disagree.
You calculated like this:
So
There is a 'theory' in physics that covers the 'dimensions' in formulas.
In this case it says
You cannot have
I suggest you post your other answers for these questions so I can check them.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#13 2013-01-24 08:47:16
- skylor
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Re: volume and SA of a cube
these are the formulas I am using
l(d) =sqrt(3d)
a(d) = 6s^2
v(d)= d^3
#14 2013-01-24 09:02:40
- bob bundy
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Re: volume and SA of a cube
I have seen these already.
I don't think any are correct.
I am trying to lead you through like this.
(i) get the correct formula for d in terms of x.
(ii) re-arrange it to get x in terms of d
(iii) get the correct formula for the surface area in terms of x
(iv) use (ii) to write the surface area in terms of d
(v) get the correct formula for the volume in terms of x
(vi) use (ii) to write the volume in terms of d.
So far I have told you (i) and you haven't got (ii) right.
And you have posted yet another question.
What is the point of this when this question is not yet done?
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#15 2013-01-24 09:11:56
- skylor
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Re: volume and SA of a cube
I replaced x with d in those problems. Is that what was wrong?
I posted another question because it is confusing me and I feel like I understand this one enough for class now.
#16 2013-01-24 09:17:11
- bob bundy
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Re: volume and SA of a cube
I replaced x with d in those problems. Is that what was wrong?
Yes. Let's say that x = 5. Then d = √3 times 5 = 8.66,,,,
So given that d = 8.66,,,, how do you calculate x ?
So what is the formula for x in terms of d ?
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#19 2013-01-24 09:25:24
- skylor
- Guest
Re: volume and SA of a cube
hm ok thanks. I think if I know the formula I should be ok.