Question

How to convert 125 cm^3 to m^3?

Answer 1

\[125 cm^3 \rightarrow m^3\]

Answer 2

like conversion

Answer 3

start with what you are given, and multiply that by ratios of 1, until you get the units you need

Answer 4

times 10^-2?

Answer 5

1cm is 1m x 10^-2 right?

Answer 6

just do the normal relationship between cm and m, then cube both

Answer 7

10^(-2) m = 1 cm

cube both sides

10^(-6) m^3 = 1 cm^3

Answer 8

so 125 x 10^-6 m^3 ?

Answer 9

the cm^3 unit cancels from numeratior and denominator, so you cant mix up multiplying or dividing by the 10^-6, otherwise the units wont work

Answer 10

That is the general way to do any sort of unit conversion, and other things

forget about the numbers till the very end, just start with the given, multiply by fractions of 1 so that the units cancel and move towards what you need, may take many more fractions than just 1 used here to change it over ...

good luck

Answer 11

so it's 125 x 10^-6 m^3 ?

Answer 12

thanks. :)

Answer 13

long as the units cancel out to leave the right one, the numbers should work themselves out, if you put each ratio value in right

Answer 14

Oh ok what about 7.8 x 10^3 g/L to kg/mL?
I tried it

Answer 15

do the "10^3" cancel out even if they aren't in the same unit?

Answer 16

Answer key says it's 7.8 x 10^-3 kg/ml

Answer 17

oh and the answer key for the first one says it's 125 x 10^-3 m^3 not 125 x 10^6 m^3, why?

Answer 18

yeah , that simple, i always just remember how each unit relates to the base unit, then you just have to remember one thing only, like for a mL

1 mL is 10^-3 L

i always change the base unit to the other ones, easier to remember i think , maybe not

Answer 19

after you get the units right, all you have to do is multiply through all the top numbers, then divide through by all the bottom numbers to get the value