Question

How many numbers are perfect cube from 1 to 1000? 9 10 11 13

Answer 1

Question :- How many numbers are perfect cube from 1 to 1000 ? ( 9 10 11 13 ) .

Solution :-

Perfect cube :-

• An integer that is equal to some other integer raised to the third power.

Lets start from 1 .

→ cube of 1 = 1 * 1 * 1 = 1

→ cube of 2 = 2 * 2 * 2 = 8

→ cube of 3 = 3 * 3 * 3 = 27

→ cube of 4 = 4 * 4 * 4 = 64

→ cube of 5 = 5 * 5 * 5 = 125

→ cube of 6 = 6 * 6 * 6 = 216

→ cube of 7 = 7 * 7 * 7 = 343

→ cube of 8 = 8 * 8 * 8 = 512

→ cube of 9 = 9 * 9 * 9 = 729

→ cube of 10 = 10 * 10 * 10 = 1000

As we can see cube of 1 to 10 are from 1 to 1000 .

Therefore,

→ Required Number = 10 (Ans.)

________________

Short :-

→ 1 to 1000

→ cube root of both

→ 1 to 10

→ 10 Numbers.