### Example: What is 3 Cubed?

3 Cubed | = | ||

= | 3 × 3 × 3 | = 27 |

Note: we write "3 Cubed" together 33** (the small 3 means the number shows up three times in multiplying)**

**Cubes indigenous 03 come 63**

0 cubed | = | 03 | = | 0 × 0 × 0 | = | 0 |

1 cubed | = | 13 | = | 1 × 1 × 1 | = | 1 |

2 cubed | = | 23 | = | 2 × 2 × 2 | = | 8 |

3 cubed | = | 33 | = | 3 × 3 × 3 | = | 27 |

4 cubed | = | 43 | = | 4 × 4 × 4 | = | 64 |

5 cubed | = | 53 | = | 5 × 5 × 5 | = | 125 |

6 cubed | = | 63 | = | 6 × 6 × 6 | = | 216 |

**Cube Root**

**A cube root** go the various other direction:

3 cubed is 27, therefore the **cube root of 27 is 3**

3 | 27 |

The cube root of a number is ...

You are watching: What is the cube of 13** ... A one-of-a-kind value that when cubed** provides the original number.

The cube source of **27** is ...** ... 3**, since **when 3 is cubed** you gain **27**.

Note: once you watch "root" think "I know the tree, yet what is the root that produced it?" In this case the tree is "27", and the cube root is "3". |

Here are some more cubes and cube roots:

4 64 5 125 6 216 ## Example: What is the Cube source of 125?Well, we just take place to recognize that 125 = 5 × 5 × 5 (if you use 5 3 times in a multiplication friend will obtain 125) ...
## The Cube source Symbol
(we speak "the cube root of 27 equates to 3")## You Can also Cube an adverse NumbersHave a look at this: When we cube +5 we get +125:+5 × +5 × +5 = +125 When us cube −5 we get −125:−5 × −5 × −5 = −125 So the ## Perfect CubesThe Perfect Cubes are the cubes that the totality numbers:
It is basic to occupational out the cube source of a perfect cube, but it is ## Example: what is the cube root of 30?Well, 3 × 3 × 3 = 27 and 4 × 4 × 4 = 64, therefore we have the right to guess the prize is between 3 and 4. Let"s shot 3.5: 3.5 × 3.5 × 3.5 = 42.875Let"s try 3.2: 3.2 × 3.2 × 3.2 = 32.768Let"s shot 3.1: 3.1 × 3.1 × 3.1 = 29.791We are acquiring closer, but an extremely slowly ... In ~ this point, I obtain out mine calculator and it says: ... However the digits simply go on and also on, without any kind of pattern. So also the calculator"s prize is Squares and Square RootsSurdsScientific CalculatorAlgebra table of contents |