Rainfall volume over land area: In a shower, 5 cm of rain falls. Find the volume of water that falls on 2 hectares of ground (in m^3).

Introduction / Context:Rainfall depth multiplied by area gives the water volume. The key is converting centimeters to meters and hectares to square meters correctly.

Given Data / Assumptions:

• Depth h = 5 cm = 0.05 m
• Area A = 2 hectares = 20,000 m^2
• Volume V = A * h

Concept / Approach:Use direct multiplication with consistent SI units to obtain m^3.

Step-by-Step Solution:V = 20,000 * 0.05 = 1,000 m^3

Verification / Alternative check:Per hectare volume = 10,000 * 0.05 = 500 m^3; for 2 hectares → 1000 m^3. Same result.

Why Other Options Are Wrong:100 and 10 m^3 miss a factor of 10–100; 10,000 m^3 is 10× too large; 500 m^3 is only for 1 hectare.

Common Pitfalls:Leaving depth in cm; misremembering 1 hectare = 10,000 m^2.

Final Answer:1000 m^3