Confused with units

If 0.2cm³ of oil spreads 60m², how thick is the oil layer?

0.2 is a volume (convert it to m3), 60 is an area. Divide former by latter to get a thickness

To convert cm³ to m³ would you just divide by 100?

To convert cm³ to m³ would you just divide by 100?

You're dealing with a cubic unit so $\frac{0.2}{100^{3}} = km^{3}$

I've come across a question that seems like it should be relatively easy, but I've changed the numbers so no one gives me the actual answer and I can work it out for myself. Here's the question:



I feel like you would have to convert the 0.2 into m² and then divide it? But I'm not really sure, and if you do have to do the conversion then I'm not sure how to actually do that

Wait so how do I get to m³?

When I get to m³, is it ok dividing that number by m² to get the thickness of the oil?

So confusing! And what units would the thickness be in?

$cm^{3}$ to $m^{3}$ you just divide by $100^{3}$



Yes, remember the equation, $\frac{Volume}{Area} = Thickness$ (or height I guess), now in terms of units you get $\frac{m^{3}}{m^{2}}=m$ therefore your unit for thickness is $m$

@ManLike007 is this right?


$\frac{0.2cm^{3}}{100cm^{3}} = 2x10^{-7}m^{3}$

$\frac{2x10^{-7}m^{3}}{60m^{2}} = 3.\dot{3}x10^{-9}m$

Yes that seems about right. Also in the first line, it's $100^{3}cm^{3}$, probably you forgot to write that.

If you're wondering how to write $\times$ and not $x$, it's just \times, just a little advice

Also, are there a specific limit of significant figures you're allowed to write as your final answer rather than recurring?

Thank you! I only just discovered the realms of LaTeX in my actual answer I have converted it to nm and there are no recurring decimals, it's just because I changed the numbers for TSR there's no note about significant figures, but I'd assume it's 3.

Also I was wondering if you could help me with something else?

I know that $10^{4}m^{2} = 2.47$ acres so if I do:

$\frac{10^{4}}{2.47}$

Would that give me the m or the m² in one acre?

@ManLike007 it seems I got the complete wrong answer. Super confused right now!

Could you be a bit more specific by any chance?

Could you be a bit more specific by any chance?

Basically this is a whole different approach.

$area \times height = volume$

So.. using "t" to mean thickness...

$60 \times t = volume$

$cm^{3} \Rightarrow m^{3} = 1 \times 10^{-6}$

So get the amount of oil..

$0.2 \times 10^{-6}$ or.. $2 \times 10^{-7}$

$\frac {0.2 \times 10^{-6}}{60} = thickness = 3.\dot{3} \times 10^{-9}$

The numbers are a bit messy here because I changed them for TSR, but this is the general method

So what’s wrong here? This is the same as yesterday’s answer. The method is the same as well, we both used the general equations