In a shower, 5 cm of rain falls. Find the volume of water that falls on 2 heactares land

Answer

To find the volume of water that falls on 2 hectares of land when 5 cm of rain falls, we can follow these steps:

### Step 1: Understand the dimensions
We know that:
- Height of rain (h) = 5 cm
- Area of land (A) = 2 hectares

### Step 2: Convert hectares to square meters
1 hectare is equal to 10,000 square meters. Therefore, for 2 hectares:
\[ A = 2 \text{ hectares} = 2 \times 10,000 \text{ m}^2 = 20,000 \text{ m}^2 \]

### Step 3: Convert height from centimeters to meters
Since the height is given in centimeters, we convert it to meters:
\[ h = 5 \text{ cm} = \frac{5}{100} \text{ m} = 0.05 \text{ m} \]

### Step 4: Calculate the volume of water
The volume (V) of water that falls can be calculated using the formula for the volume of a cuboid:
\[ V = \text{Area} \times \text{Height} \]
Substituting the values we found:
\[ V = 20,000 \text{ m}^2 \times 0.05 \text{ m} \]

### Step 5: Perform the multiplication
\[ V = 20,000 \times 0.05 = 1,000 \text{ m}^3 \]

### Step 6: Convert the volume to cubic centimeters (optional)
To convert cubic meters to cubic centimeters, we use the conversion factor:
\[ 1 \text{ m}^3 = 1,000,000 \text{ cm}^3 \]
Thus,
\[ V = 1,000 \text{ m}^3 = 1,000 \times 1,000,000 \text{ cm}^3 = 1,000,000,000 \text{ cm}^3 \]

### Final Answer
The volume of water that falls on 2 hectares of land when 5 cm of rain falls is:
\[ \text{Volume} = 1,000 \text{ m}^3 \text{ or } 1,000,000,000 \text{ cm}^3 \]

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