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Let's go through the given problem step by step:

1. **Pool Dimensions**:
   - Length = 38.1 m
   - Width = 38.8 m
   - Depth = 8.20 ft

2. **Density of Water**:  
   The density of water is given as \( 1.00 \, \text{g/mL} \), which is equivalent to \( 1000 \, \text{kg/m}^3 \).

3. **Unit Conversion**:
   - We need to convert the depth from feet to meters since the other dimensions are in meters. The conversion factor is given:
     \[
     1 \, \text{ft} = 0.3048 \, \text{m}
     \]
     Therefore,
     \[
     8.20 \, \text{ft} \times 0.3048 \, \text{m/ft} = 2.49936 \, \text{m}
     \]

4. **Volume of Water**:
   The volume of the pool can be found using the formula for the volume of a rectangular prism:
   \[
   V = \text{Length} \times \text{Width} \times \text{Depth}
   \]
   Substituting the values:
   \[
   V = 38.1 \, \text{m} \times 38.8 \, \text{m} \times 2.49936 \, \text{m}
   \]

5. **Mass of Water**:
   The mass of water is found using the formula:
   \[
   \text{Mass} = \text{Density} \times \text{Volume}
   \]
   Using the density of water \( 1000 \, \text{kg/m}^3 \), the mass can be calculated after finding the volume.

I'll calculate the values.The mass of the water in the pool is approximately \( 3,694,754 \, \text{kg} \).

Would you like more details or have any questions about this calculation?

Here are 5 related questions to expand on this topic:
1. How would the mass change if the depth of the pool increased by 1 foot?
2. What is the mass of water in pounds (lb)?
3. How do significant figures affect the final result in this calculation?
4. How would the result change if the pool was filled with a liquid denser than water?
5. What are the implications of water density changes with temperature?

**Tip**: Always ensure consistent units in calculations to avoid errors in physical computations.

A pool is 38.1 m long and 38.8 m wide. If the average depth of water is 8.20 ft, what is the mass (in kg) of water in the pool? The density of water is 1.00 g/mL. Be sure your answer has the correct number of significant figures.

This problem demonstrates how to calculate the mass of water in a rectangular pool with given dimensions using density, volume formulas, and unit conversions. It includes key concepts such as significant figures and dimensional analysis, suitable for students in Grades 10-12.

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