#### notes

The word ‘cube’ is used in geometry. A cube is a solid figure which has all its sides equal.

Consider the numbers 1, 8, 27, ...

These are called perfect cubes or cube numbers.

We note that `1 = 1 × 1 × 1 = 1^3; 8 = 2 × 2 × 2 = 2^3;

27 = 3 × 3 × 3 = 3^3`.

The following are the cubes of numbers from 1 to 10.

Number |
Cube |

1 | `1^3 = 1` |

2 | `2^3 = 8` |

3 | `3^3 = 27` |

4 | `4^3 = 64` |

5 | `5^3 = 125` |

6 | `6^3 = 216` |

7 | `7^3 = 343` |

8`` | `8^3 = 512` |

9 | `9^3 =729 ` |

10 | `10^3 = 1000 ` |