Question

If an object has a volume of 10`cm^3`, what is its volume in mL?

Answer 1

`1*mL=1*cm^3`. And thus `10*cm^3=10*mL`.

Explanation:

Now `1*mL` `=` `1xx10^-3L`

But `1*cm^-3` `=` `1*(10^-2m)^3`, because `"centi"=10^-2`

Thus `1*cm^-3` `=` `1*(10^-2m)^3` `=` `10^-6*m^3`.

But `1*m^3` `=` `10^3L`, and thus `10^-6*m^3` `=` `10^-6xx10^3L` `=` `10^-3L` `=` `1*mL` as required.