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question_answer1) Which of the following numbers are not per feet cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656

question_answer2) 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

question_answer3) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube. (i) 81 (ii) 128 (iii) 135 (iv) 192 (v) 704

question_answer4) Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

question_answer5) 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.

question_answer6) 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.

question_answer7) 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.

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