Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube. (i) 243 (ii) 256 (iii) 72 (iv) 675 (v) 100
Find the cube root of each of the following numbers by prime factorisation method: (i) 64 (ii) 512 (iii) 10648 (iv) 27000 (u) 15625 (vi) 13824 (vii) 110592 (viii) 46656 (ix) 175616 (x) 91125.
State true or false: (i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8. (v) The cube of a two digit number may be a three digit number. (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number.
You are told that 1,331 is a perfect cube. Can you guess without factorisation who, is its cube root? Similarly, guess the cube root of 4913, 12167, 32768.