Question

water flows through a pipe at a rate of 10 cubic feet per second. express this rate of flow in cubic meters per hour. round your answer to the nearest whole number.
*note: you must use these exact conversion factors to get this question right.
volume\ttime
1 cup (cup) = 8 fluid ounces (fl oz)\t1 minute (min) = 60 seconds (sec)
1 pint (pt) = 2 cups (cups)\t1 hour (hr) = 60 minutes (min)
1 quart (qt) = 2 pints (pt)\t1 day (day) = 24 hours (hr)
1 gallon (gal) = 4 quarts (qt)\t1 week (week) = 7 days (days)
1 cubic foot (ft³) = 7.481 gallons (gal)\t1 month (month) = 30 days (days)
1 liter (l) = 1000 milliliters (ml)\t1 year (yr) = 365 days (days)
1 cubic meter (m³) = 1000 liters (l)
1 gallon (gal) = 3.785 liters (l)
1 fluid ounce (fl oz) = 29.574 milliliters (ml)

Explanation:

Step1: Convert cubic - feet to gallons

We know that 1 cubic foot = 7.481 gallons. So, if the flow rate is 10 cubic feet per second, then in gallons per second, it is $10\times7.481 = 74.81$ gallons per second.

Step2: Convert gallons to liters

Since 1 gallon = 3.785 liters, the flow rate in liters per second is $74.81\times3.785=74.81\times\frac{3785}{1000}=283.15585$ liters per second.

Step3: Convert seconds to hours

There are 3600 seconds in an hour (because 1 hour = 60 minutes and 1 minute = 60 seconds, so $60\times60 = 3600$). So the flow rate in liters per hour is $283.15585\times3600 = 1019361.06$ liters per hour.

Step4: Convert liters to cubic meters

Since 1 cubic meter = 1000 liters, the flow rate in cubic meters per hour is $\frac{1019361.06}{1000}=1019.36106\approx1019$ cubic meters per hour.

Answer:

1019