Answer: 150000 g
Explanation:
Firstly, we need to calculate the volume of the tank [tex]V_{tank}[/tex]:
[tex]V_{tank}=(length)(width)(height)[/tex]
[tex]V_{tank}=(100 cm)(50 cm)(30 cm)=150000 cm^{3}[/tex] (1)
Now, [tex]V_{tank}[/tex] is the volume that has to be filled with water, this means the volume water occupies in the tank [tex]V_{water}[/tex] must be equal to the volume of the tank:
[tex]V_{water}=V_{tank}=150000 cm^{3}[/tex] (2)
On the other hand, the density of water [tex]\rho_{water}[/tex] is [tex]1 g/cm^{3}[/tex] and establishes the relation between its mass [tex]m_{water}[/tex] and its volume [tex]V_{water}[/tex]:
[tex]\rho_{water}=\frac{m_{water}}{V_{water}}[/tex] (3)
Clearing [tex]m_{water}[/tex]:
[tex]m_{water}=\rho_{water} V_{water}[/tex] (4)
[tex]m_{water}=(1 g/cm^{3})(150000 cm^{3})[/tex] (5)
Finally:
[tex]m_{water}=150000 g[/tex]
