Q1 of 45 Page 7

Find the cubes of the following numbers:  (i) 7, (ii) 12, (iii) 21, (iv) 100, (v) 302

(i)   (7)3  =  7x7x7 = 343
(ii)   (12)3  = 12 × 12 × 12 = 1728
(iii)   (21)3  = 21 × 21 × 21 = 9621
(iv)   (100)3 = 100 × 100 × 100 = 1000000(v)   (302)3 = 302 × 302 × 302 = 27543608

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2 Write cubes of all natural numbers between 1 and 20 and verify the following statements: (a) Cubes of all odd natural numbers are odd.
(b) Cubes of all even natural numbers are even. 3 Write cubes of 5 natural numbers which are multiples of 3 and verify the following:
'The cube of natural number, which is a multiple of 3 is a multiple of 27'. 4 Write cubes of 5 natural numbers which are of the form 3n+1 (e.g 4, 7, 10, ...) and verify the following: 'The cube of a natural number of the form 3n +1 is a natural number of the same form'. 5 Write cubes of 5 natural numbers which are of the form 3n + 2 (e.g. 5, 8, 11, …) and verify the following: 'The cube of a natural number of the form 3n + 2 is a natural number of the same form'.