Taking into account the definition of density and change of units, the value of the density is 1000 [tex]\frac{kg}{m^{3}}[/tex].
Density
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
This case
In this case, you know:
- density= 1 [tex]\frac{g}{cm^{3} }[/tex]
- 1 kg= 1000 g or which is the same 0.001 kg= 1 g
- 1 m³= 1,000,000 cm³ or which is the same 1×10⁻⁶ m³= 1 cm³
Then, you can change the units of the density as follow:
density= [tex]\frac{1 g}{1 cm^{3} } =\frac{0.001 kg}{1x10^{-6} m^{3} } = 1000 \frac{kg}{m^{3}}[/tex]
Finally, the value of the density is 1000 [tex]\frac{kg}{m^{3}}[/tex].
Learn more about density:
brainly.com/question/952755
brainly.com/question/1462554
#SPJ2
