How many milliliters are in a cubic meter?

Answer 1

Ellie Andrews

About a million?

#1*mL# #=# #1*cm^3#, are we agreed on this?

But #1*cm^3# #=# #(1xx10^-2*m)^3#, because the #"centi prefix"# #-=# #10^-2#.

And thus #(1xx10^-2*m)^3# #=# #1xx10^-2*mxx1xx10^-2*mxx1xx10^-2*m=#

#1xx10^-6*m^3#

And so finally, #(1*mL)/(1*m^3)=(1xx10^-6*m^3)/(1*m^3)=10^-6#.

Alternatively (finally again) #(1*m^3)/(1*mL)=(1*m^3)/(1xx10^-6*m^3)=10^(+6)#.

Thus there are #10^6#, #"one million"#, #mL# in a #"cubic meter"#.

We use the same methodology to show that there are #1000*L# in a #"cubic meter"#. A #m^3# is a VERY large volume.

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Answer 2

Peyton Adams

1 cubic meter is equivalent to 1,000,000 milliliters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.