Question

Martina's inground swimming pool is finally finished, and all that's left to do is fill it with water. Martina's family decides to fill their pool using their garden hose to save money, even though they know it will take a really long time. The swimming pool is 10 meters long and 5 meters wide, and Martina's family wants the water to be 2 meters deep. Water from the garden hose flows at a rate of 2,500 liters, or 2.5 cubic meters, per hour.

How long will it take to fill the pool?
Write your answer as a whole number or decimal. Do not round.
hours

Answer 1

40 hours

Explanation:

The swimming pool can be modeled as a rectangular prism.

Volume of a rectangular prism

`V = lwh`

where:

• l = length
• w = width
• h = height

First, calculate the volume of water needed:

Given:

• l = 10 m
• w = 5 m
• h = 2 m

Substitute the given values into the formula and solve for V:

`\implies V=10 \cdot 5 \cdot 2=100\:\: \sf m^3`

If the water flows as a rate of 2.5 m³/h, divide the volume by the rate to calculate how long it will take to fill the pool:

`\implies \sf Time=(Volume)/(rate)`

`\implies \sf Time=(100)/(2.5)`

`\implies \sf Time=40\:\:hours`

Answer 2

• 40 hours

Explanation:

Find the required water volume using the volume of prism formula

• V = lwh
• V = 10*5*2 = 100 m³

Find the time required

• 100/2.5 = 40 hours