Answer:
[tex]\frac{13.6 g}{cm^3} * \frac{1 Kg}{1000g} * \frac{10^6 cm^3}{m^3} = \frac{13600 Kg}{m^3}[/tex]
Explanation:
The process of conversion of 13.6 g/cm3 to kg/m3
1 Kg of weight is equal to 1000 grams of weight
Thus, it can be written as
[tex]1 Kg = 1000g\\1 g = \frac{1 Kg}{1000}[/tex]
So the first blank (numerator) will be filled with 1 Kg
Now, 1 meter is equal to 100 centimeter
Thus,
[tex]1 m^3 = (100)^3 cm^3\\1 cm^3 = \frac{1 m^3}{10^6}[/tex]
So, the second blank (numerator) will be filled with [tex]10^6\\[/tex]
And the third blank (denominator) will be filled with [tex]1 m^3[/tex]
And the last blank will be 13600
The complete equation will be as follows
[tex]\frac{13.6 g}{cm^3} * \frac{1 Kg}{1000g} * \frac{10^6 cm^3}{m^3} = \frac{13600 Kg}{m^3}[/tex]