cube numbers

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                  CUBES AND CUBE ROOTS
For example-
m³ = m × m2 = m × m × m.
8³ = 8 × 82 = 8 × 8 × 8 = 512 . 
15³ = 15 × 152 = 15 × 15 × 15 = 3375 . 


Perfect cube - A natural number is said to be a perfect cube if it is the cube of some natural numbers. 
Examples-   1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64,  etc. 
          Thus 1, 8, 27, 64 etc.., are perfect cubes. 

Facts About cube numbers:-
1. The cube of a number is that number raised to the power 3 . 
2. The cube of an even natural number is even. 
3. The cube of an odd natural number is odd. 
4. Numbers ending in 1, 2, 3, 4, 6, 7, 8, 9, 000, 125, 375, 625 or 875 may be cube numbers. 


Practice Questions
1. Find the cube of 21 . 
2. Find the least number by which 750 should be multiplied, so that it becomes a perfect cube.
3. Solve :-
(i) ∛4096 
(ii) ∛(729/1000 )
4. By what least number should 1536 be divided to get a perfect cube? 


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