Units of Volume

So far you've learned about units of length like feet and meters.

You've also learned about units of temperature like °F and °C.

Let's learn something new - **units of ****volume**!

**What is Volume?**

**Volume** is how much **space **a **3-D **object takes up.

Think about eating at a nice restaurant 🍔🍰. When the waitress asks:

Do you want a small, medium, or large drink?

👉 She is asking what **volume **you would like! 😺

😺 There are lots of **units **for measuring **volume**.** **

Some **units **of volume are small and convenient for **recipes **and **cooking**.

In the United States, people use these units of volume for cooking:

1teaspoon🥄

1tablespoon= 3 tsp

1cup= 16 tbsp ☕️

1pint= 2 cups

Fancy ice cream usually comes in small **pints** at the grocery store! 🍨

1 quart = 2 pt

1 gallon = 4 qt

🤓 These are called the **United States customary units.**

Just like with temperature, different parts of the world use different units of volume!

Here are the **3 countries **that use the **United States customary units**.

The **rest of the world**** (192 countries) **uses **Metric units**! They are easier to learn than the United States units. Let's take a look.

1ml(milliliter) = 20 drops of water 💧

1L(liter) = 1,000 ml 🍶

😺 **Tip:** some parts of the world spell it lit**res,** and that's okay too!

**1 L **is like a medium-sized milk carton.

We use **cm³** for small containers.

We read it as cubic centimeter.

Think of 1 cm³ as a small cube with 1 cm long sides. 🤓

It's about as big as your fingertip.

We use **m³ **for larger containers.

We read it as cubic meter.

Think of 1 m³ as a pretty big cube with 1 m long sides. 🤓

How many people do you think you could fit in **1 m³?** 🤔 You will be surprised.

👉You can fit 10 or 15 people if you cram them in! 🙈

🤓 **Remember:** 1 m is a little over 3 feet. That's how tall the average 4 year old boy is. So that's a big unit!

We use milliliter and liter for measuring the **volume of liquids**.

The abbreviation for milliliter is **ml**. It is usually pronounced as m-l, as if spelling each letter out.

The abbreviation for liter is **L**. People in many parts of the world also use the lowercase "l" for liter.

**1ml** is the same as a **20 drops of water**.

**1L** is the amount of milk inside a small **bottle**.

👉1 L is** bigger than** 1 ml.

**We use ****liters**** when measuring the volume of**** large**** amounts of liquid:**

- a bottle of unhealthy sugar water is **1 L**

- a bucket holds **10 L** of water

- a swimming pool holds **375 000 L** of water!

**We use ****milliliters**** ****to measure the volume of ****small**** amounts of liquid:**

- a **teaspoon **of water is **5 ml**

- a **cup **of tea** **is** 240 ml**

- a can of unhealthy sugar water is **330 ml**

Take a look at the bottles and cans inside your fridge.

What do you think is their volume?

We use **cm³** for **small containers** like lunch box and tin cans.

We use **m³**^{ } for **large containers** like storage containers.

A lunchbox might have a volume of **490 cm³**^{ }. A storage container might have a volume of **39 m³**.

Even though **490** might look like a bigger number than **39**, the unit of volume at the end makes a huge difference! 😺

If you know the volume of something in one unit, you can figure out its volume in every other unit too!

😺 You can convert from one unit to another unit using **conversion factors.**

🤓 **Tip:** Conversion just means turning something into something else.

🤓 **Tip:** A factor is something that contributes to the answer.

**Conversion factors **are numbers that you multiply or divide by to go from one unit to another.

Do you remember the U.S. Customary units? Let's review them again quickly:

1 tsp(teaspoon) 🥄

1 tbsp(tablespoon) =3 tsp

1 c(cup) =16 tbsp(tablespoons) ☕️

1 pt(pint) =2 c(cups)

1 qt(quart) =4 c(cups)

1 qt(quart) =2 pt

1 gal(gallon) =4 qt

So far we've learned that **1 pt** (pint) = **2 c** (cups)

To convert **pints **into **cups**, we multiply by 2!

👉 2 is the **conversion factor **between pints and cups!

To convert **cups **into **pints,** we do the opposite. We divide by 2!

So how many cups are there in 3 pints?

👉 Just multiply the conversion factor (2) times the number of pints.

3 pints x 2 = 6 cups

Now let's think, we just learned that to convert pints into cups we multiply by 2.

We also know that there are 2 pints in each quart, so we know that to convert quarts into pints we multiply by 2. 👍

Can we figure out the conversion factor between **quarts **and **cups**? 🤔

Yes! We can first convert quarts into pints, and then convert those pints again into cups.

So 1 quart = 2 pints

and 2 pints = 4 cups!

So **1 quart = 4 cups**

👉 The conversion factor between cups and quarts is 4!

**1 qt** (quart) = **4 c** (cups)

💪 You can figure out the conversion factor between any two units of volume!

🤓 **Tip:** If you have to convert between multiple units to get to your answer, just multiply all of their conversion factors along the way.

Do you think you can convert between any 2 units on your own?

If1pint =2cups, and1cup =16tbsp, how many tbsp are in 1 pint?

The conversion factor between pints and cups is 2. The conversion factor between cups and tbsp is 16.

So we just multiply these two conversion factors together!

2 x 16 = 32

1 pint = 2 cups = 32 tbsp

👉 The conversion factor between pints and tablespoons is 32!

✅ There are 32 tbsp in each pint.

**Converting Metric Units of Volume**

Let's review.

1 L(liter) =1,000 ml

1 cm^{3 }(cubic centimeter) =1 ml

1 m^{3 }(cubic meter) =1,000 L

To convert, or turn, L into ml, we multiply the liters by 1,000.

To convert m³ into L, we multiply the m³ by 1,000.

Let's try some examples.

How many ml are in 3 L?

First, figure out how many ml are in 1 L. That's the conversion factor.

Then, multiply 3 L by that factor.

3 L x 1,000 = 3,000 ml!

How many L are in 2 m³?

Remember, 1 m^{3} is pretty huge.

There are 1,000 L in 1 m^{3}.

✅ So 2 m³ x 1,000 = 2,000 L!

Now let's try converting from a small unit to a larger unit.

How many L are in 2,000 ml?

There are 1,000 ml in 1 L.

Since we are going from a small unit (ml) to a big unit (L), we **divide **by the conversion factor.

✅ So 2,000 ml ÷ 1,000 = 2 L.

To convert from a **larger unit** to a **smaller unit**, **multiply** by the **conversion factor**.

To convert from a **smaller unit** to a **larger unit**, **divide** by the **conversion factor**.

**Adding and Subtracting Volumes**

**Adding **and **subtracting **units of volume is the same as adding and subtracting numbers.

You can add and subtract volumes when the **units **are the **same**.

But, how do you add or subtract **different units**?

👉 First, you have to convert the volumes into the **same unit**.

Let's try an example.

What's 6 ml + 1 L?

Let's convert both numbers into ml.

**Tip:**** **It's easier to multiply than divide, so try switching to the smaller units to make things easier.

6 ml + 6,000 ml = ?

✅ The answer is 6,006 ml.

Great work!

Now you know about units of volume.

Complete the practice to help you remember what learned. 💪

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