Maths : Basic Numeracy

Q 161 / 370

UPSC CSE Prelims 2021

A cubical vessel of side 1m is filled completely with water. How many millilitres of water is contained in it (neglect thickness of the vessel)?

EXPLANATION

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.