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

Examples with solutions for Volume Units

Exercise #1

How many cm³ are there in a m³?

Video Solution

Answer

1000000cm3 1000000cm^3

Exercise #2

How many milliliters are in a liter?

Video Solution

Answer

1,000ml 1,000ml

Exercise #3

What is 18 liters written in milliliters?

Video Solution

Answer

18,000ml 18,000ml

Exercise #4

35.3 cm³ are? m³

Video Solution

Answer

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

Exercise #5

What is 100 m³ written as cm³?

Video Solution

Answer

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

Exercise #6

143535 milliliters are? liters

Video Solution

Answer

143.535l 143.535l

Exercise #7

Convert 84cm3 84cm^3 into milliliters.

Video Solution

Answer

84ml 84ml

Exercise #8

Convert 31m3 31m^3 into litres.

Video Solution

Answer

31000l 31000l

Exercise #9

Convert 1.6l 1.6l into milliliters.

Video Solution

Answer

1600ml 1600ml

Exercise #10

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

Video Solution

Answer

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

Exercise #11

Convert 6.8dm3 6.8dm^3 into milliliters.

Video Solution

Answer

6800ml 6800ml

Exercise #12

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

Video Solution

Answer

16,848l 16,848l

Exercise #13

Convert 3850ml 3850ml into cubic decimeters.

Video Solution

Answer

3.85dm3 3.85dm^3

Exercise #14

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

Video Solution

Answer

2500dm3 2500dm^3

Exercise #15

Convert to liters:

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

Video Solution

Answer

8.4l 8.4l

Topics learned in later sections

  1. Time units
  2. Currency Units