Question

How do you convert ${\text{g/ml}}$ to ${\text{g/c}}{{\text{m}}^{\text{3}}}$?

Answer 1

Hint For the conversion of measuring units from one form to another form, first of all you should know about the relation between each quantity present in that given units i.e. in between milliliters (${\text{mL}}$) and cubic centimeter (${\text{c}}{{\text{m}}^{\text{3}}}$).

Complete step by step solution:
As we know that gram per milliliters and grams per cubic centimeter is used to measure the density of any substance which is present in the liquid state.
-Gram per cubic centimeters (${\text{g/c}}{{\text{m}}^{\text{3}}}$) is a kind of C.G.S (Centimeter – Gram – Second) unit which is mainly used in chemistry to measure the density of liquid.
-As we know that the quantity one milliliter (${\text{mL}}$) is always equal to the one cubic centimeters (${\text{c}}{{\text{m}}^{\text{3}}}$).
-From above point it is clear that for the conversion of unit gram per milliliters (${\text{g/ml}}$) to gram per cubic centimeters (${\text{g/c}}{{\text{m}}^{\text{3}}}$) we have to multiply by only one, because both of these units are equivalent to each other.
Let we learn about this through an example:
If we have to convert a quantity of ${\text{5g/ml}}$ to ${\text{g/c}}{{\text{m}}^{\text{3}}}$, then we have to multiply the given quantity by only one and then we get the answer in the grams per cubic centimeter (${\text{g/c}}{{\text{m}}^{\text{3}}}$) which will be equal to the numerical quantity given in grams per milliliters.
i.e. ${\text{5g/ml}}$ = ${\text{5}} \times {\text{1g/c}}{{\text{m}}^3}$
or ${\text{5g/ml}}$ = ${\text{5g/c}}{{\text{m}}^3}$

Note: Here some of you may do wrong calculation if you think that 1 milliliters is equal to 1 centimeter and due to this during conversion you may do cubic multiplication of given centimeter quantity.