High School

Water flows through a pipe at a rate of 2 cubic feet per day. Express this rate of flow in pints per month. Round your answer to the nearest whole number.

*Note: You must use these exact conversion factors to get this question right.

[tex]
\[
\begin{array}{|l|l|}
\hline
\text{Volume} & \text{Time} \\
\hline
1 \text{ cup (cup)} = 8 \text{ fluid ounces (fl oz)} & 1 \text{ minute (min)} = 60 \text{ seconds (sec)} \\
\hline
1 \text{ pint (pt)} = 2 \text{ cups (cups)} & 1 \text{ hour (hr)} = 60 \text{ minutes (min)} \\
\hline
1 \text{ quart (qt)} = 2 \text{ pints (pt)} & 1 \text{ day (day)} = 24 \text{ hours (hr)} \\
\hline
1 \text{ gallon (gal)} = 4 \text{ quarts (qt)} & 1 \text{ week (week)} = 7 \text{ days (days)} \\
\hline
1 \text{ cubic foot} \left( \text{ft}^3 \right) = 7.481 \text{ gallons (gal)} & 1 \text{ month (month)} = 30 \text{ days (days)} \\
\hline
1 \text{ liter (L)} = 1000 \text{ milliliters (mL)} & 1 \text{ year (year)} = 365 \text{ days (days)} \\
\hline
1 \text{ cubic meter} \left( \text{m}^3 \right) = 1000 \text{ liters (L)} & \\
\hline
1 \text{ gallon (gal)} = 3.785 \text{ liters (L)} & \\
\hline
1 \text{ fluid ounce (fl oz)} = 29.574 \text{ milliliters (mL)} & \\
\hline
\end{array}
\]
[/tex]

Answer :

Sure, let's work through the steps to convert the water flow rate from cubic feet per day to pints per month.

1. Start with the given flow rate:
- The flow rate is 2 cubic feet per day.

2. Convert cubic feet to gallons:
- Use the conversion factor: 1 cubic foot = 7.481 gallons.
- So, 2 cubic feet/day × 7.481 gallons/cubic foot = 14.962 gallons/day.

3. Convert gallons to quarts:
- Use the conversion factor: 1 gallon = 4 quarts.
- So, 14.962 gallons/day × 4 quarts/gallon = 59.848 quarts/day.

4. Convert quarts to pints:
- Use the conversion factor: 1 quart = 2 pints.
- So, 59.848 quarts/day × 2 pints/quart = 119.696 pints/day.

5. Convert the daily rate to a monthly rate:
- Assume a month has 30 days.
- So, 119.696 pints/day × 30 days/month = 3,590.88 pints/month.

6. Round to the nearest whole number:
- The rounded value is 3,591 pints per month.

Therefore, the flow rate is approximately 3,591 pints per month.