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4. Cubes and Cube Roots
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Q5 of 76 Page 4

Find which of the following numbers are cubes of rational numbers:

(i)


(ii)


(iii) 0.001331


(iv) 0.04

(i)


We have,


=


Hence,


(ii)


We have,


=


Hence,


(iii) 0.001331


We have,


=


Hence, 0.001331 is a perfect cube of


(iv) 0.04


We have,


=


Hence, 0.04 is not a perfect cube.


More from this chapter

All 76 →
3

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

(i) -5832


(ii) -2744000

4

Find the cube of:

(i) (ii)


(iii) (iv)


(v) (vi)


(vii) 0.3 (viii) 1.5


(ix) 0.08 (x) 2.1

1

Find the cube roots of the following numbers by successive subtraction of numbers:

1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397,….


(i) 64


(ii) 512


(iii) 1728

2

Using the method of successive subtraction examine whether or not the following numbers are perfect cubes:

(i) 130


(ii) 345


(iii) 792


(iv) 1331

Questions · 76
4. Cubes and Cube Roots
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
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