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# Equivalent Metric Units of Capacity

## Use and convert among milliliters and liters.

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Practice Equivalent Metric Units of Capacity

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Equivalent Metric Units of Capacity

Devon works for a catering company. She is preparing the food for a party with 100 guests. Before she goes shopping for ingredients, she has to calculate how much food they will be making. She usually makes 375 milliliters of soup per person. How many liters of soup will Devon be making for the party?

In this concept, you will learn to identify equivalent metric units of capacity.

### Metric Units of Capacity

Capacity is the total amount of liquid an object can contain. Capacity is often measured using the metric units of liter (L) and milliliter (mL). Note that milliliter also uses the metric prefix of “milli-” to indicate that 1 milliliter is a thousandths of a liter. Look at the equivalent metric units of capacity.

1 liter (L)1 milliliter (mL)==1,000 milliliters (mL)0.001 liter (L)\begin{align*}\begin{array}{rcl} 1 \ liter \ (L) & = & 1,000 \ milliliters \ (mL)\\ 1 \ milliliter \ (mL) & = & 0.001 \ liter \ (L) \end{array}\end{align*}

When converting from a larger unit to a smaller unit, multiply by 1,000.

1 L×1,000=1,000 mL\begin{align*}1 \ L \times 1,000 = 1,000 \ mL\end{align*}

When converting from a smaller unit to a larger unit, divide by 1,000.

1 mL÷1,000=0.001 L\begin{align*}1 \ mL \div 1,000 = 0.001 \ L\end{align*}

Remember that multiplying by 1,000 is also the same as moving the decimal point 3 places to the right. Dividing by 1,000 is also the same as moving the decimal point 3 places to the left.

Here is a conversion problem.

4 L= mL\begin{align*}4 \ L = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ mL\end{align*}

Convert liters to milliliters. Liters are larger than milliliters, so multiply by 1,000.

4 L×1,000=4,000 mL\begin{align*} 4 \ L \times 1,000 = 4,000 \ mL\end{align*}

4 liters is equivalent to 4,000 milliliters.

### Examples

#### Example 1

Earlier, you were given a problem about Devon at the catering company.

Devon needs to find out how many liters of soup she needs for 100 guests if each serving is 375 milliliters.

First, find the total amount of what she needs to make in milliliters. Multiply 350 mL by 100.

350 mL×100=35,000 mL\begin{align*}350 \ mL \times 100 = 35,000 \ mL\end{align*}

Then, convert 35,000 milliliters to liters. A smaller unit is converting to a larger unit. Divide 35,000 mL by 1,000.

35,000 ml÷1,000=35 L\begin{align*}35,000 \ ml \div 1,000 = 35 \ L\end{align*}

Devon will need to make 35 liters of soup.

#### Example 2

Find the equivalent unit.

Jamie is transferring a liquid from one container to another. She transfers 2.5 liters. How many milliliters did she transfer?

First, identify the unit conversion, 2.5 liters to milliliters. A larger unit is converting to a smaller unit.

2.5 L= mL\begin{align*}2.5 \ L = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ mL\end{align*}

Then, multiply by 1,000. You can also move the decimal point 3 places to the right.

2.5 L×1,000=2,500 mL\begin{align*}2.5 \ L \times 1,000 = 2,500 \ mL\end{align*}

Jamie transferred 2,500 milliliters of liquid.

Find the equivalent units.

#### Example 3

5 liters= milliliters\begin{align*}5 \ liters = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ milliliters\end{align*}

First, identify the unit conversion, 5 liters to milliliters. A larger unit is converting to a smaller unit.

Then, multiply by 1,000.

5 L×1,000=5,000 mL\begin{align*}5 \ L \times 1,000 = 5,000 \ mL\end{align*}

5 liters is equivalent to 5,000 milliliters.

#### Example 4

2,000 milliliters= liters\begin{align*}2,000 \ milliliters = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ liters\end{align*}

First, identify the unit conversion, 2,000 milliliters to liters. A smaller unit is converting to a larger unit.

Then, divide by 1,000.

2,000 mL÷1,000=2 L\begin{align*}2,000 \ mL \div 1,000 = 2 \ L\end{align*}

2,000 milliliters is equivalent to 2 liters.

#### Example 5

4,500 milliliters= liters\begin{align*}4,500 \ milliliters = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ liters\end{align*}

First, identify the unit conversion, 2,000 milliliters to liters. A smaller unit is converting to a larger unit.

Then, divide by 1,000.

4,500 mL÷1,000=4.5 L\begin{align*}4,500 \ mL \div 1,000 = 4.5 \ L\end{align*}

4,500 milliliters is equivalent to 4.5 liters.

### Review

Find the equivalent units.

1. 4500 mL = _______ L
2. 6900 mL = _______ L
3. 4400 mL = _______ L
4. 5200 mL = _______ L
5. 1200 mL = _______ L
6. 1800 mL = _______ L
7. 2900 mL = _______ L
8. 1300 mL = _______ L
9. 2700 mL = _______ L
10. 3 L = _______ mL
11. 5.5 L = _______ mL
12. 8 L = _______ mL
13. 9.3 L = _______ mL
14. 34.5 L = _______ mL
15. 65.5 L = _______ mL

To see the Review answers, open this PDF file and look for section 4.18.

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### Vocabulary Language: English

TermDefinition
Capacity The volume of liquid an object or item can hold. Customary units of capacity include fluid ounces, cups, pints, quarts and gallons.
Customary System The customary system is the measurement system commonly used in the United States, including: feet, inches, pounds, cups, gallons, etc.