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 width of the tank

Answer

To find the width of the rectangular tank, we can follow these steps:

### Step 1: Understand the dimensions of the tank
We know the following dimensions of the tank:
- Length (L) = 25 meters
- Depth (D) = 9.5 meters
- The volume of water drawn off = 600 cubic meters
- The decrease in water level = 1.5 meters

### Step 2: Set up the equation for volume
The volume of water that corresponds to the decrease in water level can be calculated using the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
In this case, the height is the decrease in water level (1.5 meters). Let the width of the tank be \( w \). Thus, we can express the volume of the water that was drawn off as:
\[ 600 = 25 \times w \times 1.5 \]

### Step 3: Solve for the width
Now, we can rearrange the equation to solve for \( w \):
\[ 600 = 25 \times w \times 1.5 \]
\[ 600 = 37.5w \]
Now, divide both sides by 37.5 to isolate \( w \):
\[ w = \frac{600}{37.5} \]

### Step 4: Calculate the width
Now, we perform the division:
\[ w = \frac{600}{37.5} = 16 \]

### Conclusion
Thus, the width of the tank is:
\[ \text{Width} = 16 \text{ meters} \]