Cube :- The multiplication of any number by itself and then by itself again, the result is called cube of that number.
Example: 53 = 5 × 5 × 5= 125
93 = 9 × 9 × 9= 729
we will discuss the short and tricky method to calculate the cube of the number . We follow the different tricks in different situation which helps to do fast calculation in the questions.
Pre Knowledge: You must know cubes of the number at least up to 9 : -
Trick 1: cube of number starts at "1".
(12)3 = ?
Sol. :
Answer is : 1728
example 2:
(16)3 = ?
Sol. :
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Sol. :
Answer is : 1728
example 2:
(16)3 = ?
Sol. :
Answer is : 4096
Trick 2: cube of number ends at "1".
Concept:
Trick 3: cube of same digit number.
Concept:
Trick 4: cube of different digit number. [Note: this trick can be apply on all types for questions.]
Practice Questions :
1. (13)3 = ?
2. (19)3 = ?
3. (41)3 = ?
4. (81)3 = ?
5. (33)3 = ?
6. (99)3 = ?
7. (53)3 = ?
8. (87)3 = ?
9. (112)3 = ?
[Hint : {(11),(2)} or {(1),(12)}]
10. (79)3 = ?
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