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Answer:
The volume of the container is 249.367 cm³
Explanation:
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.
Density, according to the International System of Units, is usually expressed in kilogram per cubic meter (kg/m³) or gram per cubic centimeter (g/cm³).
In this case:
Replacing:
[tex]0.790 \frac{g}{cm^{3} } =\frac{197 g}{volume}[/tex]
Solving:
[tex]volume=\frac{197 g}{0.790 \frac{g}{cm^{3} } }[/tex]
volume= 249.367 cm³
The volume of the container is 249.367 cm³