1.

Which of the following are cubes of odd natural numbers? (i) 125, (ii) 343, (iii) 1728, (iv) 4096, (v) 32768, (vi) 6859

Answer»

(i) 125 = 5 × 5 × 5 × 5 = 53

It’s a cube of odd natural number. 

(ii) 343 = 7 × 7 × 7 = 73 

It’s a cube of odd natural number. 

(iii) 1728 = 26 × 33 = 43 × 33 = 123 

It’s not a cube of odd natural number. As 12 is even number. 

(iv) 4096 = 212 = (26)2 = 642 

Its not even a cube. (v) 32768 = 215 = (25)3 = 323 

It’s a cube of odd natural number. As 32 is an even number. 

(vi) 6859 = 19 × 19 × 19 = 193 

It’s a cube of odd natural number.



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