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Find the smallest number to be added in 1300 to make it a perfect cube​

Answer»

ong>Question :- find the smallest number to be added in 1300 to MAKE it a perfect cube ?

Solution :-

First we will CHECK near Perfect cubes to 1300 .

→ 10³ = 1000

→ 11³ = 1331

So,

→ 1000 < 1300 < 1331

→ 10³ < 1300 < 1331

Now , it has been asked what number must be added to make it a perfect cube.

Therefore, if we add some number and make is 1331 it will be a perfect cube .

Hence,

→ Smallest number must be added = 1331 - 1300 = 31.(Ans.)

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NOTE :- if it has been asked what smallest number must be subtracted from 1300 to make it a perfect cube , we will work on 10³ = 1000. (Answer will be 1300 - 1000 = 300.)



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