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 1cm 1\operatorname{cm} , like this one:

a cube whose length of each of its sides is 1 cm

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

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

V=1cm×1cm×1cm=1cm3 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= 1~cm³= cubic centimeter (cm raised to the third power)

Known volume measurement units:

1 m3=1000 dm3=1,000,000 cm3 1~m³=1000~dm³=1,000,000~cm³

1 dm3=1000 cm3 1~dm³=1000~cm³

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

1 L=1 dm3=1,000 cm3 1~L=1~dm³=1,000~cm³

1 liter=1000 milliliters 1~liter=1000~milliliters

1 milliliter=1 cm3 1~milliliter = 1~cm³

1000 liters=1 m3 1000~liters=1~m³


Suggested Topics to Practice in Advance

  1. Units of measurement for 11 and 12 year olds
  2. Surface Area Units or Area Measurements
  3. Weight units

Practice Volume units

Exercise #1

Convert 16,848dm3 16,848dm^3 into liters.

Video Solution

Answer

16,848l 16,848l

Exercise #2

Convert 6.8dm3 6.8dm^3 into milliliters.

Video Solution

Answer

6800ml 6800ml

Exercise #3

Convert 3850ml 3850ml into cubic decimeters.

Video Solution

Answer

3.85dm3 3.85dm^3

Exercise #4

Convert 6112cm3 61\frac{1}{2}cm^3 into cubic decimeter.

Video Solution

Answer

61.51000dm3 \frac{61.5}{1000dm^3}

Exercise #5

Convert 1.6l 1.6l into milliliters.

Video Solution

Answer

1600ml 1600ml

Exercise #1

Convert 31m3 31m^3 into litres.

Video Solution

Answer

31000l 31000l

Exercise #2

Convert 84cm3 84cm^3 into milliliters.

Video Solution

Answer

84ml 84ml

Exercise #3

143535 milliliters are? liters

Video Solution

Answer

143.535l 143.535l

Exercise #4

What is 100 m³ written as cm³?

Video Solution

Answer

100,000,000cm3 100,000,000cm^3

Exercise #5

35.3 cm³ are? m³

Video Solution

Answer

35.31,000,000m3 \frac{35.3}{1,000,000m^3}

Exercise #1

What is 18 liters written in milliliters?

Video Solution

Answer

18,000ml 18,000ml

Exercise #2

How many milliliters are in a liter?

Video Solution

Answer

1,000ml 1,000ml

Exercise #3

How many cm³ are there in a m³?

Video Solution

Answer

1000000cm3 1000000cm^3

Exercise #4

Convert to liters:

8.24l+160ml= 8.24_l+160_{ml}=

Video Solution

Answer

8.4l 8.4l

Exercise #5

Convert 236m3 2\frac{3}{6}m^3 into cubic decimeters.

Video Solution

Answer

2500dm3 2500dm^3

Topics learned in later sections

  1. Time units
  2. Currency Units