A rectangular tank is 25m long and 9.5m deep. If 600 cubic metres of water be drawn off the tank, the level of water in the tank goes down by 1.5m. Calculate :
the total volume of water which the tank can hold

Answer

To solve the problem, we will follow these steps:

### Step 1: Understand the dimensions of the tank
We are given:
- Length (L) = 25 m
- Depth (Height, H) = 9.5 m
- We need to find the width (W) of the tank.

### Step 2: Use the information about the water level decrease
We know that when 600 cubic meters of water is drawn off, the water level decreases by 1.5 m. This means that the volume of water removed can also be expressed in terms of the dimensions of the tank.

### Step 3: Write the volume of water removed
The volume of water removed can be calculated as:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height decrease} \]
So,
\[ 600 = 25 \times W \times 1.5 \]

### Step 4: Solve for the width (W)
Now we can rearrange the equation to find W:
\[ 600 = 25 \times W \times 1.5 \]
\[ 600 = 37.5W \]
\[ W = \frac{600}{37.5} \]
\[ W = 16 \text{ m} \]

### Step 5: Calculate the total volume of the tank
Now that we have all the dimensions of the tank, we can calculate the total volume (V) of the tank using the formula:
\[ V = L \times W \times H \]
Substituting the values:
\[ V = 25 \times 16 \times 9.5 \]

### Step 6: Perform the multiplication
First, calculate \( 25 \times 16 \):
\[ 25 \times 16 = 400 \]
Now, multiply by the height:
\[ V = 400 \times 9.5 = 3800 \text{ cubic meters} \]

### Final Answer
The total volume of water which the tank can hold is **3800 cubic meters**.

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