A river 1.5 m deep and 30 m wide is flowing at the rate of 3km per hour. The volume of water that rums into the sea per minute is

Options

A. `2000 m^(3)`
B. `2250 m^(3)`
C. `2500 m^(3)`
D. `2750 m^(3)`

Explanation

To solve the problem of calculating the volume of water that flows into the sea per minute from a river, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the river**:
- Depth (h) = 1.5 m
- Width (w) = 30 m

2. **Convert the flow rate from km/h to m/min**:
- The flow rate of the river is given as 3 km/h.
- To convert this to meters per minute, we use the conversion factor:
\[ 3 \text{ km/h} = 3 \times 1000 \text{ m/h} = 3000 \text{ m/h} \]
- Now, convert hours to minutes:
\[ 3000 \text{ m/h} \div 60 \text{ min/h} = 50 \text{ m/min} \]

3. **Calculate the volume of water flowing per minute**:
- The volume of water flowing per minute can be calculated using the formula for the volume of a cuboid:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
- Here, the length is the distance the water travels in one minute (50 m), the width is 30 m, and the height is the depth of the river (1.5 m).
- Plugging in the values:
\[ \text{Volume} = 50 \text{ m} \times 30 \text{ m} \times 1.5 \text{ m} \]

4. **Perform the multiplication**:
- First, calculate \(30 \times 1.5\):
\[ 30 \times 1.5 = 45 \text{ m}^2 \]
- Now, multiply by the length:
\[ 50 \text{ m} \times 45 \text{ m}^2 = 2250 \text{ m}^3 \]

5. **Conclusion**:
- The volume of water that runs into the sea per minute is **2250 m³**.

### Final Answer:
The volume of water that runs into the sea per minute is **2250 m³**.