Question

A competitive swimming pool measures 60 feet long, 76 feet wide, and 15 feet deep. If the pool must be completely filled to the 12 foot line and is currently filled to the 3 foot line, how many cubic feet of water must still added to the pool?

Answer 1

To calculate the additional water needed to fill the pool to the 12 foot line, the volume of the pool at 12 feet is subtracted by the volume at 3 feet, resulting in 41040 cubic feet of water that still needs to be added.

Step-by-step explanation:

The question involves calculating the volume of water needed to fill a swimming pool from its current water level to a specified higher water level. To find out how many cubic feet of water must still be added to the pool, we need to calculate the volume of the unfilled portion. We subtract the volume of the water already in the pool (when filled to the 3 foot line) from the volume of the pool when filled to the 12 foot line.

Firstly, calculate the volume with the pool filled to the 12 foot line:

• Volume at 12 feet = Pool length × Pool width × Desired water height
• Volume at 12 feet = 60 ft × 76 ft × 12 ft
• Volume at 12 feet = 54720 cubic feet

Next, calculate the volume with the pool currently filled to the 3 foot line:

• Volume at 3 feet = Pool length × Pool width × Current water height
• Volume at 3 feet = 60 ft × 76 ft × 3 ft
• Volume at 3 feet = 13680 cubic feet

Finally, subtract the volume at 3 feet from the volume at 12 feet to get the volume of water still needed:

• Water needed = Volume at 12 feet - Volume at 3 feet
• Water needed = 54720 cubic feet - 13680 cubic feet
• Water needed = 41040 cubic feet

Therefore, 41040 cubic feet of water must still be added to the pool to reach the 12 foot level.

Answer 2

To find the volume of water that needs to be added to the pool, subtract the volume of water in the pool at the current level from the volume of water in the pool at the desired level.

Step-by-step explanation:

To find the volume of water that needs to be added to the pool, we need to calculate the difference between the current water level and the desired water level. The current water level is at the 3 foot line, which is 3 feet from the bottom of the pool. The desired water level is at the 12 foot line, which is 12 feet from the bottom of the pool.

To calculate the volume of water that needs to be added, we subtract the volume of water in the pool at the current level from the volume of water in the pool at the desired level.

First, let's calculate the volume of water in the pool at the current level:

Volume current level = length imes width imes depth current level

Volume current level = 60 ft imes 76 ft imes 3 ft = 13,680 cubic feet

Now, let's calculate the volume of water in the pool at the desired level:

Volume desired level = length imes width imes depth desired level

Volume desired level = 60 ft imes 76 ft imes 12 ft = 54,720 cubic feet

To find the volume of water that needs to be added, we subtract the volume at the current level from the volume at the desired level:

Volume to be added = Volume desired level - Volume current level

Volume to be added = 54,720 cubic feet - 13,680 cubic feet = 41,040 cubic feet

Therefore, 41,040 cubic feet of water must still be added to the pool.