# Short Tricks to find Cube Root

To find out the cube roots of a perfect cube, you need to know some of the basic cubes

**1 ^{3}= 1, 2^{3} = 8, 3^{3}= 27, 4^{3}= 64, 5^{3} = 125**

**6 ^{3}= 216, 7^{3} =343, 8^{3}= 512, 9^{3} = 729, 10^{3} = 1000**

1^{3} |
1 | Cube of 1 ends with 1 |

2^{3} |
8 | Cube of 2 ends with 8 |

3^{3} |
27 | Cube of 3 ends with 7 |

4^{3} |
64 | Cube of 4 ends with 4 |

5^{3} |
125 | Cube of 5 ends with 5 |

6^{3} |
216 | Cube of 6 ends with 6 |

7^{3} |
343 | Cube of 7 ends with 3 |

8^{3} |
512 | Cube of 8 ends with 2 |

9^{3} |
729 | Cube of 9 ends with 9 |

10^{3} |
1000 | Cube of 10 ends with 0 |

To find out the cube root of any perfect cube, follow the following steps:

### Find out the cube root of 19683.

**Step 1**: underline the last three digits and see it is ending with 3 that means

**Explanation**: Look at the table; we can see that cube of 7 ends with 3, so the unit digit of the required number would be 7

**Step 2**: Now look in the table and find the greatest cube which is less than 19. We can see in this case it is 8 and its cube root is 2.**So the digit at tens place would be 2**

Therefore the cube root of 19683 is 27.

### Find out the cube root of 250047

**Step 1:** 250__047__

Last three digit ending with 7 , From the table a cube of 3 is ending with 7 is ,it means the unit digit would be 3 .**Step 2:** Now see the first three digits .From the table we can see that the largest cube which is less than 250 is 216( 63). So the digit at tens place would be 6

Therefore the cube root of 250047 is 63.

### Find the cube root of 175616.

Solution:

**Step 1:**

( ending with 6 and from the table we know that cube of 6 ends with 6.)

**Step 2:**

(largest cube which is less than 175 is 125 and it is the cube of 5 so the tens digit would be 5.)

There the cube root of 175616 is 56.

### Find the cube root of 941192

**Solution: **

**Step 1:**

(Ending with 2 and if we observe the table carefully, we see that cube of 8 ends with 2, so the digit at unit place would be **8**)

**Step 2 : **

(Largest cube less than 941 is 9^{3}=729 and therefore the digit at tens place would be **9**.)

So the cube root of 941192 is **98**.