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High School Physics: Homework Help Resource22 chapters | 274 lessons

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Instructor:
*Laura Pennington*

Laura has taught collegiate mathematics and holds a master's degree in pure mathematics.

In this lesson, we will learn how to convert ounces to liters using a simple conversion process. We will then look at multiple examples of applying this process in real world situations.

Our goal is to find out how to convert ounces to liters. In other words, if we have *x* ounces, we want to know how to convert those *x* ounces to liters. I've got good news! Keeping in mind that we are working with U.S. ounces, this is a fairly simple process, and it all revolves around the fact that 1 ounce is equal to 0.0295735 liters.

Let's think about this. Since 1 ounce is equal to 0.0295735 liters, if we have *x* ounces, then we have *x* copies of 0.0295735 liters. This tells us that to convert *x* ounces to liters, we simply multiply *x* by 0.0295735 liters.

To convert ounces to liters, we use the fact that 1 ounce = 0.0295735 liters. Using this fact, we have that *x* ounces is equal to *x* ⋅ 0.0295735 liters.

Believe it or not, converting ounces to liters can easily come up in our daily lives. For example, suppose you've just started a nutritional program that tells you to drink 2 liters of spring water daily. You buy bottled spring water, and each bottle holds 20 ounces of water. You need to know how many bottles of water you need to drink each day to make sure you are getting in your 2 liters.

Once again - good news! We can use our new-found knowledge of converting ounces to liters to solve this problem! First, we figure out how many liters is in one 20 oz bottle of water, then we figure out how many of these would get us to 2 liters. In other words, we convert 20 ounces to liters and then we divide that answer into 2. Great! That's just basic arithmetic! Let's get to it!

First, we convert 20 ounces to liters by multiplying 20 by 0.0295735.

20 ⋅ 0.0295735 = 0.59147

Okay! We have that 20 ounces is equal to 0.59147 liters, so each bottle of water is 0.59147 liters. We're almost there! Now, we just divide 2 liters by 0.59147 liters.

2 / 0.59147 ≈ 3.38

This tells us that you need to drink approximately 3.38 bottles of water to make sure you're getting in 2 liters of water. Basically, if you're getting in about three to four bottles of spring water in a day, you're good to go!

We see how being able to convert from ounces to liters is very useful in the real world! Let's consider another example. Suppose you are making soup for dinner - yum! The recipe calls for 28 ounces of chicken stock. However, you only have a liter measuring container, and it's not marked in ounces. Ah! Once again, we can solve this conundrum using our conversion process!

All we have to do is convert 28 ounces to liters and then we can use our liter container to measure out the appropriate amount of chicken stock for your soup. Let's do this!

First, we convert 28 ounces to liters by multiplying by 0.0295735.

28 ⋅ 0.0295735 ≈ 0.83

We see that 28 ounces is approximately 0.83 liters. Awesome! All you have to do is fill your liter container a little over three-quarters of the way full of chicken stock, and you've got the appropriate amount for your soup! Dinner will be ready in no time!

This is way too much fun to stop now! Let's look at just one more real world example. Suppose it's a really hot day, and your furry friend, Fido, wants to cool off in his kiddie pool. Your neighborhood is on a water conservation program, and you are only supposed to use 200-300 liters of water per day per household. You've already used 200 liters today, and you need to know if it's okay to fill the pool for Fido.

The bottom of the pool says that it holds 800 ounces of water, but you need to know what this is in liters to make sure that filling the pool won't put you over 300 liters of water for the day. In other words, you need to make sure that the pool holds less than 100 liters.

We see that this is another instance of converting ounces to liters! We need to convert 800 ounces to liters and make sure that the result is less than 100 liters. No problem! We simply multiply 800 by 0.0295735.

800 ⋅ 0.0295735 ≈ 23.7

We find that 800 ounces is approximately 23.7 liters, which is well under 100 liters. Looks like Fido will get some relief from the heat!

As we've seen, the need to convert ounces to liters is a common occurrence in the real world. We've also seen that this process is really fairly easy. All we have to remember is to multiply by 0.0295735! Easy peasy!

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