The question asks us to find the amount of water a swimming pool can hold. This is clearly referring to the volume of water the pool can accommodate.
We are told the pool is a rectangular prism and its length and breadth are 20m x 15m. It's height is also given as 4m.
A sketch of the question is given below:
To calculate the volume of water, we use the formula:
[tex]\text{Volume}=\text{length}\times\text{breadth}\times\text{height}[/tex]With the formula above, we can proceed to find the volume since we have all the parameters
This is done below:
[tex]\begin{gathered} Volume=\text{length}\times\text{breadth}\times\text{height} \\ \text{length}=20m,\text{breadth}=15m,\text{height}=4m \\ \\ \therefore\text{Volume}=20\times15\times4m^3 \\ \text{Volume}=1200m^3 \\ \\ \text{But the question asks us to find the volume in liters}\ldots \end{gathered}[/tex]We know that:
1 cubic meter ---------> 1000 liters
Therefore, we can find the volume in liters as follows:
[tex]\begin{gathered} \frac{1200m^3}{1m^3}\times1000\text{liters} \\ \\ \therefore\text{Volume in liters = 1200000}liters \end{gathered}[/tex]Therefore, the final answer is:
1200000 liters
