Find the cubes of:

(i) -11

(ii) -12

(iii) -21

By taking three different, values of n verify the truth of the following statements:

(i) If n is even, then n³ is also even.

(ii) If n is odd, then n³ is also odd.

(ii) If n leaves remainder 1 when divided by 3, then n³ also leaves 1 as remainder when divided by 3.

(iv) If a natural number n is of the form 3p+2 then n³ also a number of the same type.

Write true (T) or false (F) for the following statements:

(i) 392 is a perfect cube.

(ii) 8640 is not a perfect cube.

(iii) No cube can end with exactly two zeros.

(iv) There is no perfect cube which ends in 4.

(v) For an integer a, a³ is always greater than a².

(vi) If a and b are integers such that a²>b², then a³>b³.

(vii) If a divides b, then a³ divides b³.

(viii) If a² ends in 9, then a³ ends in 7.

(ix) If a² ends in an even number of zeros, then a³ ends in 25.

(x) If a² ends in an even number of zeros, then a³ ends in an odd number of zeros.

Which of the following integers are cubes of negative integers

(i) -64

(ii) -1056

(iii) -2197

(iv) -2744

(v) -42875

Show that the following integers are cubes of negative integers. Also, find the integer whose cube is the given integer.

(i) -5832

(ii) -2744000