The total quantity of water in one hectare-centimetre is:

2018

The total quantity of water in one hectare-centimetre is:

  1. A.

    10,000 litres

  2. B.

    100,000 litres

  3. C.

    1,000 litres

  4. D.

    1,000,000 litres

Attempted by 9 students.

Show answer & explanation

Correct answer: B

Concept

A hectare-centimetre is a unit of volume: it is the volume covering an area of one hectare to a uniform depth of one centimetre. Volume is area multiplied by depth, and cubic metres are converted to litres using 1 m3 = 1,000 litres.

Application

  1. Area = 1 hectare = 10,000 m2.

  2. Depth = 1 centimetre = 0.01 m.

  3. Volume = area × depth = 10,000 × 0.01 = 100 m3.

  4. Water quantity = 100 × 1,000 = 100,000 litres.

Cross-check

In centimetres, one hectare is 100,000,000 cm2. Multiplying by a depth of 1 cm gives 100,000,000 cm3; dividing by 1,000 cm3 per litre again gives 100,000 litres.

Therefore, one hectare-centimetre contains 100,000 litres of water.

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