In a shower, 10 cm of rainfall falls uniformly over 1 hectare of ground. Compute the volume of water (give the correct value in m^3).

Introduction / Context:Uniform rainfall depth over an area yields a water “prism” of that depth. Volume is simply area multiplied by depth, with careful unit conversion to cubic metres (m^3).

Given Data / Assumptions:

• Rain depth = 10 cm = 0.10 m.
• Area = 1 hectare = 10,000 m^2.

Concept / Approach:Volume V = Area * Depth, ensuring both are in metres to produce m^3 directly.

Step-by-Step Solution:

Verification / Alternative check:Convert to cm^3: 1,000 m^3 = 1,000 × 10^6 cm^3 = 10^9 cm^3 (useful cross-check).

Why Other Options Are Wrong:Values like 750 m^3 or 900 m^3 result from misusing hectare or depth units.

Common Pitfalls:Confusing m^2 and cm^2; forgetting that 1 hectare = 10,000 m^2; converting depth incorrectly.

Final Answer:1000 m3