If 1 litre of water weighs 1 kg, then how many cubic millimetres of water will weigh 0.1 gm?

If 1 litre of water weighs 1 kg, then how many cubic millimetres of water will weigh 0.1 gm?
  1. 1
  2. 10
  3. 100
  4. 1000

Solution

1 litre of water weighs 1 kg = 1000 gm, and 1 litre $= 1{,}000{,}000$ cubic millimetres (since 1 litre $= 1000$ cm³ and 1 cm³ $= 1000$ mm³). So 1000 gm corresponds to $1{,}000{,}000$ mm³, meaning 1 gm corresponds to 1000 mm³. Therefore 0.1 gm corresponds to $0.1 \times 1000 = 100$ cubic millimetres.

Asked in: CSAT 2020

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