EXERCISE 4
Find the cubes of the following numbers:
(iv) 2
(v) 03
1. (i) 13
(1) 400
9
(vi) 0.08
(vii) - 2.4
(viii) 0.001
2. Which of the following numbers are perfect cubes ?
64. 125. 243. 729. 1331. 864. 4096, 74088
[Hint. Resolve into prime factors and see if you can group these factors into triplets of equal numbers)
3. What is the smallest number by which 675 should be multiplied so that the product is a perfect cube?
4. What is the smallest number by which 2916 should be divided so that the quotient is a perfect cube?
5. Write cubes of five natural numbers which are multiples of 3 and verify the following:
"The cube of a natural number which is a multiple of 3 is a multiple of 27.
6. Find the cube roots of the following numbers by prime factorisation method :
(i) 125
(ii) 343
(iii) 2744
(iv) 3375
(v) -729
-3375
23
(vi) -1728
(vii)
4913
10
(vii) 523
7. Evaluate :
(1) 20.216
(ii) 4.096
(111) 30.003375
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