High School

Complete the steps for converting 3.6 gallons per minute to milliliters per second.

Given:
- 1 gallon = 3.79 liters
- 1 liter = 1,000 milliliters

[tex]
\[
\frac{3.6 \, \text{gallons}}{1 \, \text{minute}} \times \frac{3.79 \, \text{liters}}{1 \, \text{gallon}} \times \frac{1000 \, \text{milliliters}}{1 \, \text{liter}} \times \frac{1 \, \text{minute}}{60 \, \text{seconds}} = \left[\quad\right] \, \frac{\text{milliliters}}{\text{second}}
\]
[/tex]

Choose the correct numbers from the options below to fill in the equation:

- 1.000
- 1
- 227.4
- 3.79
- 100
- 60

Answer :

To convert 3.6 gallons per minute to milliliters per second, follow these steps:

1. Convert gallons to liters:
- We know that 1 gallon is equivalent to 3.79 liters.
- So, for 3.6 gallons, you multiply:
[tex]\[
3.6 \text{ gallons} \times 3.79 \text{ liters/gallon} = 13.644 \text{ liters}
\][/tex]
- This is the conversion to liters per minute.

2. Convert liters to milliliters:
- 1 liter is equivalent to 1,000 milliliters.
- Therefore, convert the liters to milliliters:
[tex]\[
13.644 \text{ liters} \times 1,000 \text{ milliliters/liter} = 13,644 \text{ milliliters}
\][/tex]
- This gives us milliliters per minute.

3. Convert minutes to seconds:
- Since there are 60 seconds in a minute, divide by 60 to convert per minute to per second:
[tex]\[
13,644 \text{ milliliters/minute} \div 60 \text{ seconds/minute} = 227.4 \text{ milliliters/second}
\][/tex]

By following these steps, you find that 3.6 gallons per minute is equivalent to 227.4 milliliters per second.