Question

Water flows through a pipe at a rate of 6 fluid ounces per day. Express this rate offlow in cubic meters per year. Round your answer to the nearest hundredth.*Note: you must use these exact conversion factors to get this question right.VolumeTime1 cup (cup) - 8 fluid ounces (fl oz)1 minute (min) = 60 seconds (nec)1 pint (pt) - 2 cups (cups)1 hour (hr) - 60 minutes (min)1 quart (90) = 2 pints (pt)1 day (day) = 24 hours (hr)1 gallon (sal) - 4 quarts (9)1 week (week) - 7 days (days)1 cubic foot (A) - 7.481 gallons (gal)1 month (month) - 30 days (anys)1 liter (L) - 1000 milliliters (ml)1 year (year) - 365 days (days)1 cubic meter (m) - 1000 liters (L)1 gallon (Bal) - 3.785 liters (L.)1 fluid ounce (fo) = 29.574 milliliters (L.)8

Answer 1

To express the given rate in cubic meters per year, we have to consider the following equivalences.

• 1 cubic meter equals 1000 liters.

,

• 1 liter equals 1000 milliliters.

,

• 1 fluid ounce equals 29.574 millilters.

,

• 1 year equals 365 days.

To transform, we have to express each equivalence as a ratio, as follow

`(6oz)/(day)\cdot(29.574mL)/(1oz)\cdot(1L)/(1000mL)\cdot(1m^3)/(1000L)\cdot(365days)/(1year)`

Observe that we have 1 ratio or fraction for each equivalent between units. Now, we solve the products.

`(64,767.06m^3)/(1,000,000year)\approx0.06(\frac{m^3^{}}{\text{year}})`

Therefore, 6 fluid ounces per day is equivalent to 0.06 cubic meters per year.