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.
Aptitude
Volume and Surface Area
Difficulty: Easy
Choose an option
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A3.5
-
B4
-
C5
-
D8
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ENone of these
Answer
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