There are 150,000 litres of water to be distributed across four swimming pools. The pool measurements are as follows (in meters) Pool 1 = 3L x 5W x 2H Pool 2 = 6L x 2W x 2H Pool 3 = 6L x 5W x 2H Pool 4 = 6L x 3W x 2H How much percentage of the water is in each of the 4 pools?

To find the percentage of the water in each pool, we need to first calculate the volume of each pool and then divide it by the total volume of water.

The volume of a rectangular prism (pool) is given by the formula: $$\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}.$$

Using this formula, let's calculate the volume of each pool:

For Pool 1:
$$\text{Volume}_1 = 3 \times 5 \times 2 = 30 \, \text{m}^3.$$

For Pool 2:
$$\text{Volume}_2 = 6 \times 2 \times 2 = 24 \, \text{m}^3.$$

For Pool 3:
$$\text{Volume}_3 = 6 \times 5 \times 2 = 60 \, \text{m}^3.$$

For Pool 4:
$$\text{Volume}_4 = 6 \times 3 \times 2 = 36 \, \text{m}^3.$$

Now, let's calculate the total volume of water in the four pools:
$$\text{Total Volume} = \text{Volume}_1 + \text{Volume}_2 + \text{Volume}_3 + \text{Volume}_4.$$

$$\text{Total Volume}=150,000liters=150\,\text{m}^3$$

Finally, let's calculate the percentage of water in each pool by dividing the volume of each pool by the total volume of water and multiplying by 100:

For Pool 1:
$$\text{Percentage}_1=\frac{\text{Volume}_1}{\text{Total Volume}}\times100=\frac{30}{150}\times100=20\%$$

For Pool 2
$$\text{Percentage}_2=\frac{\text{Volume}_1}{\text{Total Volume}}\times100=\frac{24}{150}\times100=16\%$$


For Pool 3
$$\text{Percentage}_3=\frac{\text{Volume}_1}{\text{Total Volume}}\times100=\frac{60}{150}\times100=40\%$$

For Pool 4
$$\text{Percentage4}_=\frac{\text{Volume}_1}{\text{Total Volume}}\times100=\frac{36}{150}\times100=24\%$$