A cuboid water tank has capacity 50,000 litres (i.e., 50 m^3). If its length is 2.5 m and depth is 10 m, find the breadth (in metres).

Introduction / Context:
Unit conversion between litres and cubic metres is essential: 1000 L = 1 m^3. With the tank’s capacity in litres, convert to m^3 and then use V = l * b * d for a cuboid to find the missing breadth. This emphasizes dimensional consistency in fluid-capacity problems.

Given Data / Assumptions:

• Capacity = 50,000 L = 50 m^3.
• l = 2.5 m, depth (height) d = 10 m.
• V = l * b * d.

Concept / Approach:
Rearrange b = V / (l * d), substitute the numbers, and compute exactly.

Step-by-Step Solution:
b = 50 / (2.5 * 10) = 50 / 25 = 2 m

Verification / Alternative check:
Check: 2.5 * 2 * 10 = 50 m^3 ⇒ 50,000 L, which matches the given capacity.

Why Other Options Are Wrong:
4, 6, or 9 m would yield 100, 150, or 225 m^3 capacities with the same l and d, contradicting the 50 m^3 requirement.

Common Pitfalls:
Forgetting 1000 L = 1 m^3; placing 10 in the numerator instead of the denominator; arithmetic slips with decimals.

Final Answer:
2 m