To fill a rectangular tank of area `700 m^2, 140 m^3` of water is required. What will be the height of the water level in the tank?

Options

A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm

Answer

To find the height of the water level in the tank, we can use the formula for the volume of a rectangular prism (in this case, the tank):

\[ \text{Volume} = \text{Area} \times \text{Height} \]

Where:
- Volume (V) = 140 m³ (the volume of water required)
- Area (A) = 700 m² (the area of the base of the tank)
- Height (h) = ? (the height of the water level we need to find)

### Step 1: Write down the formula for volume
We start with the formula:
\[ V = A \times h \]

### Step 2: Substitute the known values into the formula
Substituting the values we have:
\[ 140 = 700 \times h \]

### Step 3: Solve for height (h)
To find the height, we can rearrange the equation:
\[ h = \frac{V}{A} \]
Substituting the known values:
\[ h = \frac{140}{700} \]

### Step 4: Calculate the height
Now, we perform the division:
\[ h = 0.2 \, \text{m} \]

### Conclusion
The height of the water level in the tank is **0.2 meters**.

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