Question

) How many perfect cubes are there between 500 and 1000?
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Answer 1

Answer:

[ Including 1 and 1000 there are only 10 perfect cube, 10^3 = 1000 so, it can't be more then 10 ] , But in between 1 to 1000 there are only 8 perfect cube because then we have to exculed 1 and 1000. 8, 27, 64, 125, 216, 343, 512, 729.

Answer 2

Nearest cube to 500 is 8
3
=512

Nearest cube to 1000 is 10
3


In between 500 and 1000, 8
3
,9
3
are there

∴ 2 perfect cubes are there