Question

The difference between the smallest 5 digit perfect cube in the greatest four digit perfect cube is a ,then a - 56 can be a cube of

Answer 1

Smallest 5 digit perfect cube
22x22x22= 10648

Greatest 4 digit cube
21x21x21= 9261

Difference = 10648-9261
= 1387
a= 1387
Then,
1387-56= 1331 (which is cube of 11)
Therefore 11 is the correct answer

Answer 2

Solution:

Greatest 4 digit perfect cube is of 21= 21³= 9261

Smallest 5 digit perfect cube of 22 = 22³= 10648

Given:
Smallest 5 digit perfect cube -Greatest 4 digit perfect cube = a

10648 - 9261 = a

1387 = a

a-56 (given)

1387 -57

1331

(11)³

Hence,a-56 can be a cube of 11.

==================================================================

Hope this will help you.....