High School

A pool is 37.1 m long and 40.5 m wide. if the average depth of water is 4.80 ft, what is the mass (in kg) of water in the pool? enter your answer in scientific notation.

Answer :

The mass of water in the pool is approximately 3.61 × 10⁶ kg.

To calculate the mass of water in the pool, we need to determine the volume of water and then convert it to mass. First, we calculate the volume of the pool using its dimensions: length, width, and average depth.

Volume of the pool = length × width × average depth

Length = 37.1 m

Width = 40.5 m

Average Depth = 4.80 ft

To convert the average depth from feet to meters, we need to use the conversion factor: 1 ft = 0.3048 m.

Average Depth = 4.80 ft × 0.3048 m/ft

Now we can calculate the volume of the pool:

Volume = 37.1 m × 40.5 m × (4.80 ft × 0.3048 m/ft)

Next, we need to convert the volume from cubic meters to liters, as 1 liter of water has a mass of 1 kg.

1 cubic meter = 1000 liters

Volume (in liters) = Volume (in cubic meters) × 1000

Finally, we can calculate the mass of water by assuming that 1 liter of water has a mass of 1 kg:

Mass (in kg) = Volume (in liters) = Volume (in cubic meters) × 1000

By performing the calculations, we find that the mass of water in the pool is approximately 3.61 × 10⁶ kg.

To know more about conversion factor refer here:

https://brainly.com/question/30567263#

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