To determine the total amount of water wasted by a dripping tap over three hours, follow these steps:
1. Understand the Dripping Rate: The tap drips at a rate of 12 milliliters every 30 seconds.
2. Convert Hours to Seconds: Since the tap drips at a rate based on seconds, we first need to convert the time span from hours to seconds. There are 3600 seconds in an hour, so:
[tex]\[
\text{Total time in seconds} = 3 \text{ hours} \times 3600 \text{ seconds per hour} = 10800 \text{ seconds}
\][/tex]
3. Calculate the Number of 30-Second Intervals: Next, determine how many 30-second intervals are in 10800 seconds:
[tex]\[
\text{Number of 30-second intervals} = \frac{10800 \text{ seconds}}{30 \text{ seconds per interval}} = 360 \text{ intervals}
\][/tex]
4. Determine the Total Water Wasted in Milliliters: Multiply the number of intervals by the dripping rate per interval:
[tex]\[
\text{Total water wasted in milliliters} = 360 \text{ intervals} \times 12 \text{ milliliters per interval} = 4320 \text{ milliliters}
\][/tex]
5. Convert Milliliters to Liters: There are 1000 milliliters in a liter, so convert the total milliliters to liters:
[tex]\[
\text{Total water wasted in liters} = \frac{4320 \text{ milliliters}}{1000} = 4.32 \text{ liters}
\][/tex]
Thus, the amount of water wasted in the three hours was 4.32 liters.
