A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, find the height of the water level in it.

Answer

To find the height of the water level in the swimming pool, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Length of the swimming pool (L) = 260 m
- Width of the swimming pool (W) = 140 m
- Volume of water (V) = 54600 m³

2. **Recall the formula for the volume of a rectangular prism**:
The volume (V) of a rectangular prism (like a swimming pool) is given by the formula:
\[ V = L \times W \times H \]
where H is the height of the water level.

3. **Rearrange the formula to solve for height (H)**:
We need to find the height, so we can rearrange the formula:
\[ H = \frac{V}{L \times W} \]

4. **Substitute the known values into the formula**:
Now, we can substitute the values we have into the rearranged formula:
\[ H = \frac{54600}{260 \times 140} \]

5. **Calculate the product of length and width**:
First, calculate \(260 \times 140\):
\[ 260 \times 140 = 36400 \]

6. **Divide the volume by the product of length and width**:
Now, substitute this value back into the equation for height:
\[ H = \frac{54600}{36400} \]

7. **Perform the division**:
Now, calculate the height:
\[ H = 1.5 \text{ m} \]

### Final Answer:
The height of the water level in the swimming pool is **1.5 meters**.

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