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High School Physics: Homework Help Resource22 chapters | 279 lessons

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Lesson Transcript

Instructor:
*Artem Cheprasov*

This lesson will teach you how to convert liters to gallons in a couple easy steps, how to check your work in one of two different ways, and how this can be applied to the real world.

Have you ever needed to or wanted to convert liters to gallons for anything? It's not hard at all:

First, you need to know how many gallons there are to a liter. There are 0.264 gallons per liter.

Let's assume you need to convert 10 liters to gallons. Simply multiply the amount you have (10 liters) by the conversion factor: 10 liters times 0.264 gallons per liter equals 2.64 gallons. So 10 liters is equal to 2.64 gallons.

How might you check your work to make sure you got everything right? Well, another conversion factor you could've used is this: one gallon equals 3.78 liters.

You can check your work in one of two ways. You could take your answer of 2.64 gallons and multiply it by 3.78 liters per gallon to get your answer back to liters: 2.64 gallons times 3.78 liters per gallon equals 10 liters, which gives us a rounded answer of 10 liters (we're using approximate conversion factors).

Another way you could check your work is to restart the problem completely with the original 10 liters and convert that to gallons using our new conversion factors of 3.78 liters per gallon. Except this time, you would divide 10 liters by this number to get your answer: 10 liters divided by 3.78 liters per gallon equals 2.64 gallons.

A quick double check confirms our original solution!

Let's apply this to the real world with a small twist to make things more interesting. We'll convert from gallons to liters (like we did in the last section) instead of liters to gallons.

Let's say you're playing for a college soccer team. Your coach tells you that you need to bring at least 2 gallons of water with you for the game because it's super-hot and humid today.

The problem is, you don't have any gallon jugs: all you have are smaller plastic bottles of water. You look on the label and see that each one contains a liter of water. How many of these 1 L bottles of water do you need to bring with you to the soccer game in order to follow your coach's orders?

You know from before that there are 3.78 liters per gallon. Put another way, each gallon contains 3.78 liters of water. So if your coach tells you to bring two gallons of water, then you need to multiply this number, 3.78, by two: 2 gallons times 3.78 liters/gallon equals 7.57 liters.

Since your coach said you need to bring at least 2 gallons, you can't bring any less than 7.57 liters of water. Since each bottle of water is 1 liter in volume, you should bring 8 of them (8 liters) to fulfill the coach's orders.

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High School Physics: Homework Help Resource22 chapters | 279 lessons

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