Teacher Guide: Converting Metric Volume Units

Convert between liters, deciliters, centiliters and milliliters, and link them to cubic centimeters and cubic meters.

Present LessonView Student Page

Use this lesson with your class

Free, no student accounts needed.

Share with students

Students open the lesson and practise with instant feedback.

Printable worksheet

All practice problems on paper, with a separate answer key.

Worksheet Answer key

Class quiz

10 questions on Volume & Capacity. Students join with a name, you see everyone's score.

For Teachers

Learning Objectives

Name the metric capacity units kL, hL, L, dL, cL and mL and order them by size
Convert between metric capacity units by multiplying or dividing by 10, 100 or 1000
Use the links 1 mL = 1 cm³, 1 L = 1 dm³ and 1 m³ = 1000 L
Compare and order amounts given in different units
Solve multi-step word problems that involve volume conversions

Prerequisites

• Metric Volume Units (mL, L): knowing that 1 L = 1000 mL
• Volume of Rectangular Prisms: finding a volume in cubic centimeters
• Multiplying and dividing decimals by 10, 100 and 1000

Discussion Starters

1. A can says 33 cL and a bottle says 0.5 L. How could you decide quickly which holds more?
2. Why do you think water companies charge per cubic meter instead of per liter?
3. A cube with 10 cm edges holds exactly 1 liter. How could you check this at home?
4. Why is it useful that every step on the metric ladder is a factor of 10?

Common Misconceptions

Every metric volume conversion uses 1000

Remediation: Draw the ladder and count steps together: L to dL is 1 step (10), L to cL is 2 steps (100), L to mL is 3 steps (1000).

1 m³ is the same as 1 L, or 100 L

Remediation: Show a 10 cm cube (1 L) and explain that a 1 m cube has 10 of these along each edge: 10 × 10 × 10 = 1000 liters.

The amount with the bigger number is always more

Remediation: Compare 58 cL and 0.6 L with real containers or a measuring jug, then convert both to mL to show why 0.6 L is more.

Differentiation Ideas

For Struggling Students:

• Start with whole numbers and one-step conversions (L to dL, dL to cL)
• Give each student a printed ladder to place a finger on and count steps
• Use a place value chart to move the decimal point

For On-Level Students:

• Convert decimal amounts across two or three steps
• Order sets of four amounts given in different units
• Change an aquarium's size in cm into liters

For Advanced Students:

• Solve problems with m³, kL and hL, such as filling pools or tanks
• Find how long a pump needs to empty a tank given in m³
• Explain why 1 m³ = 1000 L using 1 m = 10 dm

Standards Alignment

5.MD.A.1 (CCSS.MATH.CONTENT.5.MD.A.1)
Convert among different-sized standard measurement units within a given measurement system and use these conversions in solving multi-step, real world problems
5.NBT.A.2 (CCSS.MATH.CONTENT.5.NBT.A.2)
Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10
4.MD.A.2 (CCSS.MATH.CONTENT.4.MD.A.2)
Use the four operations to solve word problems involving liquid volumes

Lesson Resources

visualCapacity Ladder Poster
A wall chart with kL down to mL and the factor 10 on every step
activityMeasuring Jug Station
Students pour water given in dL and cL into a jug marked in mL and check their conversions
worksheetShop Shelf Comparison
Compare drinks labeled in L, cL and mL and find which one holds the most

Lesson Content

Everything students see: definition, examples, common mistakes, applications. Tap to open.

Definition

In the lesson on metric volume units you learned that

1

= 1000

mL. Between the liter and the milliliter there are two more units, and above the liter there are bigger ones. Together they form the metric capacity ladder:

\text{kL} \xrightarrow{\times 10} \text{hL} \xrightarrow{\times 10} \text{daL} \xrightarrow{\times 10} \text{L} \xrightarrow{\times 10} \text{dL} \xrightarrow{\times 10} \text{cL} \xrightarrow{\times 10} \text{mL}

Each step on the ladder is a factor of

10

(the decaliter, daL, is rarely used, but it keeps the steps even):

$1$ L $= 10$ dL $= 100$ cL $= 1000$ mL
$1$ hL $= 100$ L and $1$ kL $= 1000$ L

How to convert:

From a bigger unit to a smaller unit: multiply (the number gets bigger)
From a smaller unit to a bigger unit: divide (the number gets smaller)
Count the steps: $1$ step $= 10$ , $2$ steps $= 100$ , $3$ steps $= 1000$

Capacity and cubic units are linked:

1 \text{ mL} = 1 \text{ cm}^3 \qquad 1 \text{ L} = 1 \text{ dm}^3 = 1000 \text{ cm}^3 \qquad 1 \text{ m}^3 = 1000 \text{ L}

Worked Examples

A bottle of juice holds $3.5$ L. How many centiliters is that?

Find the direction

L is bigger than cL, so we go down the ladder → Multiply

Count the steps

L $\to$ dL $\to$ cL is $2$ steps → Factor $100$

Calculate

$3.5 \times 100 = 350$ → $350$ cL

Answer: $3.5$ L $= 350$ cL

Common Mistakes

Using $1000$ for every conversion, for example writing $2$ L $= 2000$ cL

Why it's wrong: Only L to mL is $3$ steps. L to cL is just $2$ steps on the ladder.

Correct: Count the steps: L $\to$ dL $\to$ cL is $2$ steps, so multiply by $100$ : $2$ L $= 200$ cL.

Multiplying when going to a bigger unit, for example $40$ cL $= 400$ L

Why it's wrong: A liter is much bigger than a centiliter, so you need fewer liters than centiliters.

Correct: Smaller to bigger unit: divide. $40 \div 100 = 0.4$ , so $40$ cL $= 0.4$ L.

Comparing the numbers without converting: thinking $58$ cL is more than $0.6$ L because $58 > 0.6$

Why it's wrong: The numbers are in different units, so they cannot be compared directly.

Correct: Convert first: $58$ cL $= 580$ mL and $0.6$ L $= 600$ mL, so $0.6$ L is more.

Forgetting the placeholder zero: writing $85$ mL $= 0.85$ L

Why it's wrong: Dividing by $1000$ moves the decimal point $3$ places, and $85$ has only $2$ digits.

Correct: Fill the empty place with a zero: $85 \div 1000 = 0.085$ , so $85$ mL $= 0.085$ L.

Why It Matters

Metric volume units appear in many forms, and you often need to switch between them:

Shopping: A can holds $33$ cL, a bottle holds $1.5$ L. Which is more? Only a conversion tells you.
Cooking: Many European recipes use deciliters ( $2$ dL of milk) while a measuring jug shows milliliters.
Aquariums and pools: You measure a tank in centimeters or meters, but the water is sold and pumped in liters.
Water bills: Water companies charge per cubic meter, and $1$ m³ is $1000$ L.
Science: Lab cylinders show mL, and $1$ mL is exactly $1$ cm³.

Once you know the ladder, every metric volume conversion is just multiplying or dividing by

10

100

1000

Real World Applications

Cooking with Mixed Units

European recipes often mix deciliters, centiliters and milliliters, so cooks convert everything to one unit before measuring.

Example:

A pancake recipe needs $2.5$ dL of milk. On a jug marked in mL, that is $250$ mL.

1Try It Yourself

A sauce needs $3$ dL of milk, $15$ cL of cream and $250$ mL of water.

How many milliliters of liquid is that in total?

Step 1: Write the mathematical expression

Convert to mL, then add: $3 \times 100 + 15 \times 10 + 250$

Filling an Aquarium

Pet shops measure tanks in centimeters, but water treatment and fish numbers depend on liters. Because $1000$ cm³ $= 1$ L, the conversion is quick.

Example:

A small tank of $30$ cm $\times$ $20$ cm $\times$ $25$ cm holds $15\,000$ cm³, which is $15$ L.

2Try It Yourself

An aquarium is $60$ cm long, $40$ cm wide and $50$ cm high.

How many liters of water does it hold when full?

Step 1: Write the mathematical expression

Volume in cm³, then divide by $1000$ : $60 \times 40 \times 50 \div 1000$

Water Delivery

Water trucks are filled in kiloliters, while tanks at homes and farms are often sold by their size in cubic meters.

Example:

A truck with $10$ kL of water carries $10\,000$ L, which is also $10$ m³.

3Try It Yourself

A water truck carries $9$ kL. It fills garden tanks that each hold $1.5$ m³.

How many tanks can the truck fill completely?

Step 1: Write the mathematical expression

Convert both to liters, then divide: $9 \times 1000 \div (1.5 \times 1000)$

Key Takeaways

1The capacity ladder is kL, hL, daL, L, dL, cL, mL, and each step is a factor of $10$
2 $1$ L $= 10$ dL $= 100$ cL $= 1000$ mL; $1$ hL $= 100$ L; $1$ kL $= 1000$ L
3Bigger unit to smaller unit: multiply. Smaller unit to bigger unit: divide
4 $1$ mL $= 1$ cm³, $1$ L $= 1$ dm³ $= 1000$ cm³ and $1$ m³ $= 1000$ L
5To compare amounts, convert them all to the same unit first
6When dividing, fill empty places with zeros: $85$ mL $= 0.085$ L

Frequently Asked Questions

How do I know whether to multiply or divide?

Ask yourself which unit is bigger. Going to a smaller unit means you need more of them, so multiply. Going to a bigger unit means you need fewer of them, so divide.

Is $1$ mL really the same as $1$ cm³?

Yes. A cube that is

1

cm on each side holds exactly

1

mL. That is why a

10

cm cube (

1000

cm³) holds exactly

1

Why do I almost never see decaliters?

The decaliter (

10

L) is a correct metric unit but rarely used in daily life. It is still useful on the ladder, because it keeps every step equal to

10

Where do I see centiliters and deciliters?

On drink cans and bottles in many countries (

33

cL,

50

cL) and in recipes (

2

dL of cream). Measuring jugs usually show mL, so you convert.

Glossary

Deciliter (dL): One tenth of a liter: $1$ dL $= 100$ mL
Centiliter (cL): One hundredth of a liter: $1$ cL $= 10$ mL
Hectoliter (hL): One hundred liters: $1$ hL $= 100$ L
Kiloliter (kL): One thousand liters: $1$ kL $= 1000$ L $= 1$ m³
Cubic centimeter (cm³): The volume of a cube with $1$ cm edges, equal to $1$ mL
Conversion factor: The number you multiply or divide by to change units, here $10$ , $100$ or $1000$

Formula Card

Liter ladder

1 \text{ L} = 10 \text{ dL} = 100 \text{ cL} = 1000 \text{ mL}

Each step down the ladder multiplies by 10

Large units

1 \text{ hL} = 100 \text{ L}, \quad 1 \text{ kL} = 1000 \text{ L}

Used for tanks, barrels and water deliveries

Capacity and cubic units

1 \text{ mL} = 1 \text{ cm}^3, \quad 1 \text{ L} = 1 \text{ dm}^3 = 1000 \text{ cm}^3

Links the volume of a solid to how much liquid it holds

Cubic meter

1 \text{ m}^3 = 1000 \text{ L}

Used for pools, tanks and water bills

Teacher Guide: Converting Metric Volume Units

Use this lesson with your class

For Teachers

For Struggling Students:

For On-Level Students:

For Advanced Students:

Lesson Content

Definition

Worked Examples

Common Mistakes

Why It Matters

Real World Applications

Cooking with Mixed Units

Filling an Aquarium

Water Delivery

Key Takeaways

Frequently Asked Questions

Glossary

Formula Card

Liter ladder

Large units

Capacity and cubic units

Cubic meter

More in This Topic

Introduction to Volume

Metric Volume Units (mL, L)

Volume of Rectangular Prisms

Imperial Volume Units (cups, pints, gallons)