'Mathematically Similar' Question

[zeldaspurpose]

Homework Statement

Homework Equations

The Attempt at a Solution

I tried cross multiplying but obviously that is not the case. These types of questions are the ones I always lose marks in. Any help would be appreciated.

 

[mfb]

How do volume and surface area change if you make an object twice as long/high/thick?
Based on that, what is the scale factor in your problem?

 

[zeldaspurpose]

I'm not sure how to find out, I'm really sorry. All I know:

volume of larger container : volume of smaller container
3456 : 1458
Simplified:
64 : 27

Which is where I got stuck. I don't know what to do from there.

 

[CrazyNinja]

If working with weird flask shapes makes you uncomfortable, try doing the same with two cubes. As long as the two bodies are mathematically similar, it shouldn't matter to us. See if that helps.

 

[PeroK]

I'm not sure how to find out, I'm really sorry. All I know:

volume of larger container : volume of smaller container
3456 : 1458
Simplified:
64 : 27

Which is where I got stuck. I don't know what to do from there.

Another hint:

If the ratio of volumes is 64:27, and if you think the ratio of surface areas should be 64:27, do you think the ratio of heights should be 64:27 as well?

 

[mfb]

Another hint:

If the ratio of volumes is 64:27, and if you think the ratio of surface areas should be 64:27, do you think the ratio of heights should be 64:27 as well?

And to make an extreme example: an adult human has about 3 to 4 times the height of a newborn baby. How would an adult look like with 3 to 4 times the mass of a newborn baby?

 

[epenguin]

And once you get the principle, noticed that some arithmetical simplifications are offered in the numbers given you. (They could even point you the way, but not unambiguously.)

 

[epenguin]

Not seeing anything new there.

But at least those final numbers can be further factorised - fairly obvious.

And preferably please consider using an app like free docscan hd
https://itunes.apple.com/gb/app/doc-scan-hd-scanner-to-scan/id467016332?mt=8 which is no more trouble than whatever you are using, in order to present your pics in a less dark and shabby-looking way.

 

[CrazyNinja]

And to make an extreme example: an adult human has about 3 to 4 times the height of a newborn baby. How would an adult look like with 3 to 4 times the mass of a newborn baby?

God @mfb ! Now that visual isn't leaving my head for the next two hours.

I hope the OP understood.

 

[mfb]

God @mfb ! Now that visual isn't leaving my head for the next two hours.

I thought about using the opposite direction but that didn't make it better.