UPSC Prelims 2021·CSAT·Quantitative Aptitude·Geometry and Mensuration

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

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Last updated 23 May 2026, 3:31 pm IST
  1. A1000
  2. B10000
  3. C100000
  4. D1000000Correct

Explanation

The vessel is a cube with side 1 m. Volume of the cube = side x side x side = 1 m x 1 m x 1 m = 1 cubic meter (m^3). To convert cubic meters to millilitres, we use the following conversions: 1 m = 100 cm 1 m^3 = (100 cm)^3 = 100 x 100 x 100 cm^3 = 1,000,000 cm^3. We also know that 1 cubic centimetre (cm^3) is equivalent to 1 millilitre (mL). Therefore, 1,000,000 cm^3 = 1,000,000 mL. So, the cubical vessel contains 1,000,000 millilitres of water. Analyzing the options: A) 1000 mL: This would be 1 litre, or 1000 cm^3, which is a much smaller volume (0.001 m^3). B) 10000 mL: This is 10 litres, or 10000 cm^3. C) 100000 mL: This is 100 litres, or 100000 cm^3. D) 1000000 mL: This is 1000 litres, or 1 m^3, which matches our calculation. The final answer is D.
Quantitative Aptitude: A cubical vessel of side 1 m is filled completely with water. How many millilitres of water is contained in it (neglect
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