To find out how much water is in the tank when it is 2/3 full, we'll first calculate the volume of the tank, then determine 2/3 of that volume.

Step 1: Calculate the Volume of the Tank

The volume $V$ of a rectangular tank is given by the formula: $V = \text{length} \times \text{width} \times \text{height}$

Using the given dimensions: $V = 38 \, \text{cm} \times 23 \, \text{cm} \times 18 \, \text{cm}$

$V = 15,732 \, \text{cm}^3$

Step 2: Calculate 2/3 of the Volume

Now, we calculate 2/3 of the total volume: $\frac{2}{3} \times 15,732 \, \text{cm}^3 = 10,488 \, \text{cm}^3$

Step 3: Convert to Litres and Millilitres

1 cm³ is equivalent to 1 millilitre (ml), and 1,000 millilitres equal 1 litre.

Thus, 10,488 cm³ is equivalent to: $10,488 \, \text{ml} = 10.488 \, \text{litres}$

Final Answer:

The tank contains 10 litres and 488 millilitres of water when it is 2/3 full.

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Would you like more details, or do you have any questions?

Here are 5 related questions for practice:

1. How much water would be in the tank if it were 3/4 full?
2. What is the volume of the tank in cubic meters?
3. If the tank were filled to the top, how many litres of water would it hold?
4. What percentage of the tank is full if there is 7 litres of water in it?
5. How many more litres are needed to fill the tank completely from 2/3 full?

Tip: Always convert volume units carefully when dealing with millilitres, litres, and cubic centimeters.