Given:
Length of the cuboid tank = 4 m
Breadth = 2.5 m
Height = 2.4 m
One third of the tank is filled with water.
1 cubic meter = 1000 liters.
To find:
The quantity of the water in the tank.
Solution:
Volume of a cuboid is:
![V=l* b* h](https://img.qammunity.org/2022/formulas/mathematics/high-school/etz2l45rzxzpmsi05k0myrg6kdbg2acfq2.png)
Where, l is length, b is breadth and h is the height.
The volume of the tank is :
![V=4* 2.5* 2.4](https://img.qammunity.org/2022/formulas/mathematics/high-school/4mmvv5d29onz86w26w0g4kvucjyxwplahr.png)
![V=24](https://img.qammunity.org/2022/formulas/mathematics/high-school/2qt09br0j1y5222x9v5d3usikdb89kxgfx.png)
Volume of tank is 24 cubic meter.
One third of the tank is filled with water. So, the volume of the water is
![(24)/(3)=8](https://img.qammunity.org/2022/formulas/mathematics/high-school/b1iv8p0kqkmermo954ze9zb8vovvsywrre.png)
The volume of water is 8 cubic meters.
We have,
1 cubic meter = 1000 liters.
8 cubic meter = 8000 liters.
Therefore, the quantity of the water in the tank is 8000 liters.