Question

9. Between which two perfect cubes, the following
numbers lie?
b. 1700
c. 18.000
d. 2,50,000
a. 230

​

Answer 1

Given :   Numbers : b  1700   c. 18.000    d. 2,50,000    a. 230

To find : Between which two perfect cubes, the  numbers lie

Solution:

1700   > 1000  > 10³

lets check 11³ = 1331

1700 > 11³

12³ = 1728

=> 12³ > 1700

1700 lies between 11³  & 12³

18.000  

26³ = 17576

27³ = 19683

18000 lies between 26³ & 27³

250000

250000  lies between 62³  & 63³

6³ = 216

7³ = 243

=> 230 lies between 6³ & 7³

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