Correct Option (4)
The side of the cubical vessel is given as 1 m.
The volume of a cube is calculated using the formula (side)³.
Therefore, the volume of the vessel = (1 m)³ = 1 cubic meter.
To convert cubic meters to millilitres, the standard conversion factor is applied: 1 cubic meter = 1,000,000 millilitres.
Hence, the cubical vessel contains 1,000,000 millilitres of water.
Incorrect Options:
Options 1 (1000), 2 (10000), and 3 (100000) are incorrect as they represent volumes significantly smaller than 1 cubic meter.
- 1000 millilitres is equivalent to 1 litre, which corresponds to 0.001 cubic meters.
- 10000 millilitres is equivalent to 10 litres, which corresponds to 0.01 cubic meters.
- 100000 millilitres is equivalent to 100 litres, which corresponds to 0.1 cubic meters.
These options arise from incorrect unit conversions or miscalculations of the vessel's volume.