Rectangular tank water depth — convert cm2 to m2 properly: A rectangular tank holds 2.6 m3 of water. If the area of its base is 6500 cm2, find the depth of water in meters.

Difficulty: Easy

Correct Answer: 4

Explanation:


Introduction / Context:
Depth equals volume divided by base area, but unit consistency is essential: convert the base area from cm2 to m2 before dividing.



Given Data / Assumptions:

  • Volume V = 2.6 m3
  • Base area A = 6500 cm2 = 6500/10000 = 0.65 m2


Concept / Approach:
Depth h = V / A with consistent SI units.



Step-by-Step Solution:
h = 2.6 / 0.65 = 4 m



Verification / Alternative check:
Units: m3 / m2 = m, which is correct for depth.



Why Other Options Are Wrong:
3.5, 5, 8 arise from incorrect area conversion or arithmetic.



Common Pitfalls:
Using 6500 as m2 directly; forgetting that 1 m2 = 10000 cm2.



Final Answer:
4

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