Lesson eLearning

A lake has a surface area of 12 km². If it loses 5 mm of water due to evaporation in one day, how many liters of water are lost in that day?

hard 4 marks Class 5 · EVS · Every Drop Counts
Answer
60,000,000 liters

The correct answer is 60,000,000 liters — Convert cubic metres to litres: 60,000 m³ × 1000 litres/m³ = 60,000,000 litres.

Step-by-step solution

  1. Convert surface area to square metres: 12 km² = 12 × (1000 m)^2 = 12,000,000 m².
  2. Convert depth to metres: 5 mm = 0.005 m.
  3. Compute volume lost: 12,000,000 m² × 0.005 m = 60,000 m³.
  4. Convert cubic metres to litres: 60,000 m³ × 1000 litres/m³ = 60,000,000 litres.
Common mistake: Mixing units and not converting to cubic metres

Concept tested: Volume calculation from area and depth

Published · How this solution was prepared and checked

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