Answer:
The mass of the bar = 199.87 grams
Explanation:
Given:
Density of a brass bar = 9.87 [tex]g/cm^3[/tex]
Volume of bar = 20.25 [tex]cm^3[/tex]
To find the mass of the brass bar.
Solution:
Density of a body is defined as mass of the body per unit volume of the body.
Thus, we have:
[tex]\rho=\frac{m}{V}[/tex]
where:
[tex]\rho\rightarrow[/tex] density of the body
[tex]m\rightarrow[/tex] mass of the body
[tex]V\rightarrow[/tex] Volume of the body
Plugging in the given values.
[tex]9.87\ g/cm^3=\frac{m}{20.25\ cm^3}[/tex]
Solving for [tex]m[/tex]
Multiplying both sides by 20.25 [tex]cm^3[/tex].
[tex]20.25\ cm^3\times 9.87\ g/cm^3=\frac{m}{20.25\ cm^3}\times 20.25\ cm^3[/tex]
[tex]199.87\ g =m[/tex]
∴ [tex]m=199.87\ g[/tex]
Thus, the mass of the bar = 199.87 grams
