Question

A swimming pool in the shape of a right rectangular prism is 20m x 15m. if it is 4m deep throughout, how many liters of water does it hold? the swimming pool holds ____ L of water

Answer 1

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:

`\text{Volume}=\text{length}*\text{breadth}*\text{height}`

With the formula above, we can proceed to find the volume since we have all the parameters

This is done below:

`\begin{gathered} Volume=\text{length}*\text{breadth}*\text{height} \\ \text{length}=20m,\text{breadth}=15m,\text{height}=4m \\ \\ \therefore\text{Volume}=20*15*4m^3 \\ \text{Volume}=1200m^3 \\ \\ \text{But the question asks us to find the volume in liters}\ldots \end{gathered}`

We know that:

1 cubic meter ---------> 1000 liters

Therefore, we can find the volume in liters as follows:

`\begin{gathered} (1200m^3)/(1m^3)*1000\text{liters} \\ \\ \therefore\text{Volume in liters = 1200000}liters \end{gathered}`

Therefore, the final answer is:

1200000 liters