Question

How many cube numbers are there between 2000 and 4000 ?

Answer 1

A cube number is the result when a number has been multiplied by itself twice. The symbol for cubed is ³.

For example, 8 is a cube number because it’s 2 x 2 x 2 (2 multiplied by itself twice); this is also written as 23 (“two cubed”). Another example of a cube number is 27 because it’s 33 (3 x 3 x 3, or “three cubed”).

Therefore, the cube numbers between 2000 and 4000 are 2197, 2744, 3375.

Where,

`\begin{gathered} 2197=13^3 \\ 2744=14^3 \\ 3375=15^3 \end{gathered}`

Hence, there are 3 cube numbers between 2000 and 4000.