The area of the base of a rectangular tank is $ 6500 ext{ cm}^2 $ and the volume of water contained in it is

Question

The area of the base of a rectangular tank is $ 6500 	ext{ cm}^2 $ and the volume of water contained in it is $ 2.6 	ext{ cubic meters}$. The depth of water in the tank is:

Examoogle · Accepted Answer

The correct answer is Option B: 4 m. Finding Depth of Water in a Rectangular Tank

Step-by-Step Solution & Concepts:
Key Fact: Finding Depth of Water in a Rectangular Tank

Given: Base Area $A = 6500	ext{ cm}^2$; Volume of water $V = 2.6	ext{ m}^3$

Key Formulas: $	ext{Volume} = 	ext{Base Area} 	imes 	ext{Depth}$; $1	ext{ m}^2 = 10^4	ext{ cm}^2$

Key Points: Always convert area to square meters ($m^2$) before dividing by volume in cubic meters ($m^3$).; Option B (4 m) is correct.

Steps: Unit Conversion of Base Area to $m^2$: Since $1	ext{ m} = 100	ext{ cm}$, $1	ext{ m}^2 = 10,000	ext{ cm}^2$. $$A = \frac{6500}{10,000}	ext{ m}^2 = 0.65	ext{ m}^2$$. Calculating Depth ($h$): The volume of a rectangular tank is given by: $$	ext{Volume} = 	ext{Base Area} 	imes 	ext{Depth}$$ $$2.6 = 0.65 	imes h$$ $$h = \frac{2.6}{0.65} = \frac{260}{65} = 4	ext{ m}$$

Answer: B is correct — 4 m

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