# Thread: find each side of a cube - volume.

1. so would i just do 196/6= 65.3?

2. Nope, you can't do that. The 196 is a volume, right? You told me in the OP that the volume of a cube is length times width times height. But now you've also told me that all the sides are equal. What does that tell you about the length, the width, and the height?

3. times together they =6

4. No, I'm afraid not. The volume is length times height times width, and you've told me that the sides of a cube are all equal. Aren't length, width, and height all sides of the cube?

5. yes they are

6. So, they're all equal, right? How does that simplify the equation

$V=\ell\cdot w\cdot h?$

7. i don't know. the volume is only made up of 3 things so you onlu divide by 3?

8. No, that's not it. What you need to see right now is at the very heart of this problem, so I feel it's not right for me to tell you what you're supposed to see. You have all the information you need. Apply a little imagination (by far the most important tool a mathematician can possess), and I think you'll get it.

9. would i square root196? to get 14?

10. Much closer, but still no cigar. You're on the right track.

11. would i do squareroot^3196= 5.81?

12. You should clean up your notation, but yes, you need to do the cube root. And why is that? Can you justify that step?

13. is it because you have 196^3 so you need to cancel it out to find each side. just to let you know i won't be able to respond to you post for about 30mins, sorry but i will respond!!

14. No, that's not the reason. The reason comes from posts 19 and 21 taken together.

15. is it because there are 3 of them and they are all equal?

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