A tank is in the form of a cuboid with length 12m. If 18kilolitre of water is removed from it, the water level goes down by 30cm. What is the width (in m) of the tank? घन के आकार वाले एक टैंक की लंबाई 12 मीटर है। यदि इससे 18 किलोलीटर पानी निकाल लिया जाता है तो इसका जल स्तर 30 सेमी नीचे चला जाता है। टैंक की चौड़ाई (मीटर में) कितनी है?

Options

A. 4.5
B. 4
C. 5
D. 5.5

Answer

To solve the problem step by step, we will follow the given information and apply the necessary formulas.

### Step 1: Understand the problem
We have a cuboidal tank with a length of 12 meters. When 18 kiloliters of water is removed, the water level decreases by 30 cm. We need to find the width of the tank.

### Step 2: Convert the volume of water removed
The volume of water removed is given as 18 kiloliters. We need to convert this into cubic meters:
- 1 kiloliter = 1 cubic meter
- Therefore, 18 kiloliters = 18 cubic meters.

### Step 3: Convert the height decrease into meters
The water level decreases by 30 cm. We need to convert this into meters:
- 30 cm = 30/100 = 0.30 meters.

### Step 4: Use the volume formula for the cuboid
The volume of water removed can also be expressed using the formula for the volume of a cuboid:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Here, we know:
- Volume = 18 cubic meters
- Length = 12 meters
- Height = 0.30 meters

Let the width be \( w \). Therefore, we can write the equation as:
\[ 18 = 12 \times w \times 0.30 \]

### Step 5: Solve for the width
Now we can rearrange the equation to find \( w \):
\[ w = \frac{18}{12 \times 0.30} \]

Calculating the denominator:
\[ 12 \times 0.30 = 3.6 \]

Now substituting back:
\[ w = \frac{18}{3.6} \]

Calculating \( w \):
\[ w = 5 \text{ meters} \]

### Conclusion
The width of the tank is **5 meters**.

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