Question

How many perfect cube numbers are there between 1 to 100%
(A) 4
(B) 5
(C) 6 6
(D) 7​

Answer 1

Answer:

Let us find the perfect cubes between 1 to 100.

We know that, 1

3

=1,2

3

=8,3

3

=27,4

3

=64 and the rest numbers i.e. 4,5,6,.... have their cubes greater than 100.

So, only these four numbers have their cubes between 1 to 100.

Thus, there are 4 perfect cubes from 1 to 100.

Now, let's find the cubes between −100 to 0

We know, 0

3

=0,(−1)

3

=−1,(−2)

3

=−8,(−3)

3

=−27,(−4)

3

=−64 and the rest numbers have their cubes less than −100

So, only these 5 numbers have their cubes between −100 to 0 and 4 perfect cubes are there from 1 to 100.

Thus, there are 9 perfect cubes from −100 to 100.

explanation:

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