Explanation:
First, you have to know the definition of density. Density is mass per unit volume, or D = m/V. In this problem, you are given the mass = 37 g and you are given the volume of 21 cm3. So, the density is simply m/V = 37g/21cm3 = 1.76g/cm3. It's that simple.
Taking into account the definition of density, the density of the cheese is 1.4 [tex]\frac{g}{cm^{3} } [/tex] or 1.4 [tex]\frac{ g}{mL} [/tex].
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.
In this case, you know that:
Replacing in the definition of density:
[tex]density=\frac{21 g}{15 cm^{3} } =\frac{21 g}{15 mL} [/tex]
Solving:
density= 1.4 [tex]\frac{g}{cm^{3} } [/tex]= 1.4 [tex]\frac{ g}{mL} [/tex]
In summary, the density of the cheese is 1.4 [tex]\frac{g}{cm^{3} } [/tex] or 1.4 [tex]\frac{ g}{mL} [/tex].
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