The diagram shows a partly-filled water tank in the shape of a rectangular prism. The tank has the following dimensions:

• Length = 4 m
• Width = 2.5 m
• Height = 1.8 m

It is stated that one-third of the tank is filled with water. We need to find the quantity of water in litres.

Step 1: Calculate the total volume of the tank.

The formula for the volume of a rectangular prism is: $\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$ $\text{Volume of tank} = 4 \, \text{m} \times 2.5 \, \text{m} \times 1.8 \, \text{m} = 18 \, \text{cubic metres}$

Step 2: Find the volume of water in the tank.

Since one-third of the tank is filled with water: $\text{Volume of water} = \frac{1}{3} \times 18 \, \text{m}^3 = 6 \, \text{m}^3$

Step 3: Convert the volume of water to litres.

1 cubic metre = 1000 litres, so: $\text{Volume of water in litres} = 6 \, \text{m}^3 \times 1000 = 6000 \, \text{litres}$

Final Answer:

The quantity of water in the tank is 6000 litres.

Do you have any questions, or would you like more details on any step?

Here are 5 related questions you might be interested in:

1. How do you calculate the volume if the tank were half-filled instead?
2. What if the tank were filled to a different fraction, like one-quarter?
3. How does the formula for the volume change for a cylindrical tank?
4. What happens if the tank has varying dimensions (e.g., trapezoidal shape)?
5. How would you calculate the total volume if the tank were in an irregular shape?

Tip:

Always ensure that units are consistent throughout a calculation—converting to a common unit (e.g., from metres to litres) early in the process can help avoid confusion.