Q3 of 45 Page 7

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'.

(3)3 = 3× 3× 3 =27
(6)3 = 6 × 6× 6 =216
(9)3 = 9 × 9 × 9 =729
(12)3 = 12 × 12 × 12 =1728
(15)3 = 15 × 15 × 15 =3375
Verification:
(3)3 = 27 = 27 × 1
(6)3 = 216 = 27 × 8
(9)3 = 729 = 27 × 27
(12)3 = 1728 = 27 × 64
(15)3 = 3375 = 27 × 125
... 'The cube of natural number, which is a multiple of 3 is a multiple of 27'.

More from this chapter

All 45 →
1 Find the cubes of the following numbers:  (i) 7, (ii) 12, (iii) 21, (iv) 100, (v) 302 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. 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'.