# Volume units - Examples, Exercises and Solutions

Every three-dimensional body has volume. For example, a ball or pyramid are bodies with volume. The volume of a body is our way of measuring the space that said body occupies in space.

For example, let's observe a cube whose length of each of its sides is $1\operatorname{cm}$, like this one:

To calculate the volume of the cube we will use the known formula: $Length\times ~width\times~height$

In this case, the three dimensions are equal and, therefore, we will note:

$V=1\operatorname{cm}\times1\operatorname{cm}\times1\operatorname{cm}=1\operatorname{cm}^3$

V is the letter used to abbreviate the word volume in exercises and is used to designate volumes.

That is, we found that the volume of the cube is $1~cm³=$ cubic centimeter (cm raised to the third power)

Known volume measurement units:

$1~m³=1000~dm³=1,000,000~cm³$

$1~dm³=1000~cm³$

Additionally, there are measurements that we primarily use for measuring liquids:

$1~L=1~dm³=1,000~cm³$

$1~liter=1000~milliliters$

$1~milliliter = 1~cm³$

$1000~liters=1~m³$

## Practice Volume units

### Exercise #1

Convert $16,848dm^3$ into liters.

### Video Solution

$16,848l$

### Exercise #2

Convert $6.8dm^3$ into milliliters.

### Video Solution

$6800ml$

### Exercise #3

Convert $3850ml$ into cubic decimeters.

### Video Solution

$3.85dm^3$

### Exercise #4

Convert $61\frac{1}{2}cm^3$ into cubic decimeter.

### Video Solution

$\frac{61.5}{1000dm^3}$

### Exercise #5

Convert $1.6l$ into milliliters.

### Video Solution

$1600ml$

### Exercise #1

Convert $31m^3$ into litres.

### Video Solution

$31000l$

### Exercise #2

Convert $84cm^3$ into milliliters.

### Video Solution

$84ml$

### Exercise #3

143535 milliliters are? liters

### Video Solution

$143.535l$

### Exercise #4

What is 100 m³ written as cm³?

### Video Solution

$100,000,000cm^3$

35.3 cm³ are? m³

### Video Solution

$\frac{35.3}{1,000,000m^3}$

### Exercise #1

What is 18 liters written in milliliters?

### Video Solution

$18,000ml$

### Exercise #2

How many milliliters are in a liter?

### Video Solution

$1,000ml$

### Exercise #3

How many cm³ are there in a m³?

### Video Solution

$1000000cm^3$

### Exercise #4

Convert to liters:

$8.24_l+160_{ml}=$

### Video Solution

$8.4l$

### Exercise #5

Convert $2\frac{3}{6}m^3$ into cubic decimeters.

### Video Solution

$2500dm^3$