Practice on volume measurement

### 1.1. Solve textbook exercises page 155

**Lesson 1 Textbook page 155**

a) Write the correct number in the dot:

Name | Sign | Relationships between adjacent units of measurement |

Cubic meters | square meter^{3} |
1 m3 =…dm3 =…cm3 |

Cubic decimeter | dm^{3} |
1dm3 =…cm3 ; 1dm3 =0,…m3 |

Cubic centimeter | cm^{3} |
1cm3 =0,…dm3 |

b) In units of volume:

– How many times larger is the next smaller unit?

– The smaller unit is equal to a fraction of the next larger unit?

*Solution guide:*

a)

Name | Sign | Relationships between adjacent units of measurement |

Cubic meters | square meter3 | 1 m3 =1000dm3 = 1000000cm3 |

Cubic decimeter | dm3 | 1dm3 = 1000cm3 ; 1dm3 =0,001m3 |

Cubic centimeter | cm3 | 1cm3 =0.001dm3 |

b)

– The larger unit is 1000 times the next smaller unit.

– Small unit equals \(\frac{1}{{1000}}\) the next larger unit.

Lesson 2 Textbook page 155

Write the appropriate numbers in the dot:

1m^{3} = … dm^{3} 1dm^{3} = …cm^{3}

7,268m^{3} = … dm^{3} 4,351dm^{3} = ….cm^{3}

0.5m^{3} = … dm^{3} 0.2dm^{3} = …cm^{3}

3m^{3} 2dm^{3} = … dm^{3} 1dm^{3} 9cm^{3} = …cm^{3}

*Solution guide:*

1m^{3} = 1000 dm3 1dm3 = 1000cm3

7,268m3 = 7268 dm3 4,351dm3 = 4351cm3

0.5m3 = 500 dm3 0.2dm3 = 200cm3

3m3 2dm3 = 3002 dm3 1dm3 9cm3 = 1009cm3

Lesson 3 Textbook page 155

Write the following measurements as decimals:

a) The unit of measurement is cubic meter:

6m^{3} 272dm^{3} ; 2105dm^{3} ; 3m^{3} 82dm^{3} .

b) The unit of measurement is cubic decimeter:

8dm^{3} 439cm^{3} ; 3670cm^{3} ; 5dm^{3} 77cm^{3}

*Solution guide:*

a) 6m^{3} 272dm^{3} = 6,272m^{3}

2105dm^{3} = 2,105m^{3}

3m^{3} 82dm^{3} = 3,082m^{3}

b) 8dm^{3} 439cm^{3} = 8,349dm^{3}

3670cm^{3} = 3,670dm^{3}

5dm^{3} 77cm^{3} = 5.077dm^{3}

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