How much water will it take to fill a pool that is 23 feet in length, 11 feet wide, and 6 feet deep?

To determine how much water it will take to fill the pool, we need to calculate the volume of the pool. The volume of a rectangular prism (which is the shape of the pool) can be found using the formula:

$\text{Volume} = \text{Length} \times \text{Width} \times \text{Depth}$

Given:

• Length = 23 feet
• Width = 11 feet
• Depth = 6 feet

Now, substitute these values into the formula:

$\text{Volume} = 23 \, \text{feet} \times 11 \, \text{feet} \times 6 \, \text{feet}$

$\text{Volume} = 1518 \, \text{cubic feet}$

To convert cubic feet to gallons (since water is typically measured in gallons), we use the conversion factor:

$1 \, \text{cubic foot} = 7.48 \, \text{gallons}$

So, multiply the volume in cubic feet by the conversion factor:

$\text{Volume in gallons} = 1518 \, \text{cubic feet} \times 7.48 \, \text{gallons per cubic foot}$

$\text{Volume in gallons} = 11351.64 \, \text{gallons}$

Therefore, it will take approximately 11,351.64 gallons of water to fill the pool.