A cuboidal tank has 48000 liters of water. Find the depth of water in the tank if length of the tank is 6m andbreadth is 4m.

Options

A. 4 m
B. 6 m
C. 3 m
D. 2 m

Answer

To find the depth of water in the cuboidal tank, we will follow these steps:

### Step 1: Convert the volume of water from liters to cubic meters.
We know that 1 cubic meter (m³) is equal to 1000 liters. Therefore, to convert 48000 liters to cubic meters:

\[ \text{Volume in cubic meters} = \frac{48000 \text{ liters}}{1000} = 48 \text{ m}^3 \]

### Step 2: Use the formula for the volume of a cuboid.
The volume \( V \) of a cuboid is given by the formula:

\[ V = \text{length} \times \text{breadth} \times \text{depth} \]

In our case, we know the volume \( V = 48 \text{ m}^3 \), the length \( L = 6 \text{ m} \), and the breadth \( B = 4 \text{ m} \). We need to find the depth \( D \).

### Step 3: Substitute the known values into the volume formula.
Substituting the values into the formula, we have:

\[ 48 = 6 \times 4 \times D \]

### Step 4: Calculate the product of length and breadth.
First, calculate the product of length and breadth:

\[ 6 \times 4 = 24 \]

### Step 5: Rearrange the equation to solve for depth.
Now we can rewrite the equation to solve for depth \( D \):

\[ 48 = 24 \times D \]

To isolate \( D \), divide both sides by 24:

\[ D = \frac{48}{24} = 2 \text{ m} \]

### Conclusion:
The depth of water in the tank is \( 2 \text{ meters} \).

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