[lax400]

Hi,

I keep running into trouble whenever I run into problems like this:

47.5 cm3 to L

I don't know what to do with these. I know that 1 cm3 =  1mL, but how would I go on about using Dimensional Analysis to solve these? If it wasn't converting from a unit of length to volume I could do it. Could someone help?

Thanks

[DrCMS]

If it wasn't converting from a unit of length to volume I could do it. Could someone help?

But it's not, it is converting one volume to another

I know that 1 cm3 =  1mL

How many ml in 1L?

[lax400]

1000ml are in a liter...

so I just multiply 1000 by 47.5?

[DrCMS]

1000ml are in a liter...

yes

so I just multiply 1000 by 47.5?

no

[lax400]

well... how would I go about using Dimensional Analysis to solve this?

Something like this?

47.5 cm x cm x cm x ml/cm x ml/cm x ml/cm

but what would be in front of the ml and cm? 1 and 1?

It only seems to make sense when I do:

47.5 cm x cm x cm x 1ml/1cm x 1ml/1cm x 1ml/1cm x 10^-3L/ml = 47.5 x 10^-3 L

which then becomes 4.75 x 10^-2 L, since when you place it in scientific notation. You have to have the value between 1-9 so... you move the decimal point over to the left one and so it becomes 10^-2? Maybe I'm confusing myself >.o