What did one geometry book say to the other geometry book?

Don't look at me, I have my own set of problems!

We don't have problems here only solutions.

The type of questions involving volume scale factor can appear problematic.

Honestly, they are not.

**Smaller cubes length = 4 cm **

**Volume of the smaller cube = 64 cm³ **

**Larger cubes length = 8 cm**

What is the volume of the larger cube?

1. Find the scale factor of the enlargement 8 ÷ 4 = Scale factor 2

2. THIS DOES NOT MEAN THAT THE VOLUME IS TWICE AS BIG.

3. Take the scale factor and use it as if you were finding the volume i.e 2 x 2 x 2 = 8

4. The volume of the larger cube is 8 times as big

5. 64 x 8 = 512 cm³

**Smaller rectangle length = 6 cm **

**Volume of the smaller rectangle = 60 cm³ **

**Larger rectangle length = 18 cm**

What is the volume of this cuboid rectangle?

1. Find the scale factor of the enlargement 18 ÷ 6 = Scale factor 3

2. THIS DOES NOT MEAN THAT THE VOLUME IS THREE TIMES AS BIG.

3. Take the scale factor and use it as if we were finding a volume. 3 x 3 x 3 = 27

4. The volume of the larger cuboid is 27 times as big

5. 27 x 60 = 1620 cm²

__Let us put what we know already into a table__

Scale factor 2 | Volume scale factor 2³ | 4 times as big |

Scale factor 3 | Volume Scale factor 3³ | 27 times as big |

Scale factor 4 | ||

Scale factor 5 |

Scale factor 2 | Volume scale factor 2³ | 8 times as big |

Scale factor 3 | Volume scale factor 3³ | 27 times as big |

Scale factor 4 | Volume scale factor 4³ | 64 times as big |

Scale factor 5 | Volume scale factor 5³ | 125 times as big |

The volume of our skillset is increasing all the time.