volume and SA of a cube

skylor b · 2013-01-23 08:37:04

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)=?

Bob · 2013-01-23 08:42:31

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

skylor · 2013-01-23 08:54:38

yes they are thank you

Bob · 2013-01-23 08:58:23

OK. So let's do one at a time, shall we.

How would you work out the length of the diagonal of a cube if the side has length x ?

Bob

skylor · 2013-01-23 09:00:52

x^3?

Bob · 2013-01-23 09:06:38

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

skylor · 2013-01-23 09:14:03

ok but im confused because there are no numbers. am I just supposed to give the forumula

skylor · 2013-01-23 09:17:01

so itd be

l(d) =sqrt(3d)

a(d) = 6s^2

v(d)= d^3

Bob · 2013-01-23 09:28:19

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

skylor · 2013-01-23 09:34:15

I think it should be sqrt (3x)

skylor · 2013-01-23 09:34:53

I think I have this one down thank you

Bob · 2013-01-23 09:43:43

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

skylor · 2013-01-23 09:47:16

these are the formulas I am using

l(d) =sqrt(3d)

a(d) = 6s^2

v(d)= d^3

Bob · 2013-01-23 10:02:40

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

skylor · 2013-01-23 10:11:56

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.

Bob · 2013-01-23 10:17:11

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

skylor · 2013-01-23 10:21:27

take the sqrt of that?

Bob · 2013-01-23 10:23:44

√8.66 = 2.94....

You should be saying how to get the answer 5.

Bob

skylor · 2013-01-23 10:25:24

hm ok thanks. I think if I know the formula I should be ok.

Bob · 2013-01-23 10:29:05

So what do you think it is?

Bob

skylor · 2013-01-23 10:32:12

3.87

Bob · 2013-01-23 10:44:39

That isn't a formula.

x = something with a d in it.

B

Math Is Fun Forum

#1 2013-01-23 08:37:04

volume and SA of a cube

#2 2013-01-23 08:42:31

Re: volume and SA of a cube

#3 2013-01-23 08:54:38

Re: volume and SA of a cube

#4 2013-01-23 08:58:23

Re: volume and SA of a cube

#5 2013-01-23 09:00:52

Re: volume and SA of a cube

#6 2013-01-23 09:06:38

Re: volume and SA of a cube

#7 2013-01-23 09:14:03

Re: volume and SA of a cube

#8 2013-01-23 09:17:01

Re: volume and SA of a cube

#9 2013-01-23 09:28:19

Re: volume and SA of a cube

#10 2013-01-23 09:34:15

Re: volume and SA of a cube

#11 2013-01-23 09:34:53

Re: volume and SA of a cube

#12 2013-01-23 09:43:43

Re: volume and SA of a cube

#13 2013-01-23 09:47:16

Re: volume and SA of a cube

#14 2013-01-23 10:02:40

Re: volume and SA of a cube

#15 2013-01-23 10:11:56

Re: volume and SA of a cube

#16 2013-01-23 10:17:11

Re: volume and SA of a cube

#17 2013-01-23 10:21:27

Re: volume and SA of a cube

#18 2013-01-23 10:23:44

Re: volume and SA of a cube

#19 2013-01-23 10:25:24

Re: volume and SA of a cube

#20 2013-01-23 10:29:05

Re: volume and SA of a cube

#21 2013-01-23 10:32:12

Re: volume and SA of a cube

#22 2013-01-23 10:44:39

Re: volume and SA of a cube

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