A tank 40 m long, 30 in broad and 12.5 m deep is dug in a field 1000 m long and 30 m wide. By how much will the level of the field rise if the earth dug out of the tank in evenly spread over the field.
1000 मी. लंबे और 30 मी. चौड़े मैदान में एक 40 मी. लंबा, 30 मी. चौड़ा और 12.5 मीटर गहरा टैंक खोदा जाता है। यदि मैदान में टैंक की मिट्टी समान रूप से फैलाई जाती है, तो मैदान का तल कितना बढ़ जाएगा?

Options

A. 5.20 m
B. 2 m
C. 1.2 m
D. 0.5 m

Explanation

To find out how much the level of the field will rise after the earth dug out of the tank is spread evenly over the field, we can follow these steps:

### Step 1: Calculate the volume of the tank
The volume \( V \) of the tank can be calculated using the formula for the volume of a rectangular prism:
\[ V = \text{length} \times \text{breadth} \times \text{depth} \]
Given:
- Length of the tank = 40 m
- Breadth of the tank = 30 m
- Depth of the tank = 12.5 m

Substituting the values:
\[ V = 40 \, \text{m} \times 30 \, \text{m} \times 12.5 \, \text{m} = 15000 \, \text{m}^3 \]

### Step 2: Calculate the area of the field
The area \( A \) of the field can be calculated using the formula:
\[ A = \text{length} \times \text{breadth} \]
Given:
- Length of the field = 1000 m
- Breadth of the field = 30 m

Substituting the values:
\[ A = 1000 \, \text{m} \times 30 \, \text{m} = 30000 \, \text{m}^2 \]

### Step 3: Calculate the rise in the level of the field
The rise in the level of the field \( h \) can be calculated using the formula:
\[ h = \frac{\text{Volume of earth}}{\text{Area of field}} \]
Substituting the values:
\[ h = \frac{15000 \, \text{m}^3}{30000 \, \text{m}^2} = 0.5 \, \text{m} \]

### Final Answer
The level of the field will rise by **0.5 meters**.

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