Question

There are _________ perfect cubes between $1$ and $1000$.

Answer 1

Finding the number of perfect cubes between $1$ and $1000$:

Cubes are the values that are obtained when a number is multiplied by itself three times.

The cubes between $1$ and $1000$ are

$\begin{array}{rcl}2\times 2\times 2& =& 8\\ 3\times 3\times 3& =& 27\\ 4\times 4\times 4& =& 64\\ 5\times 5\times 5& =& 125\\ 6\times 6\times 6& =& 216\\ 7\times 7\times 7& =& 343\\ 8\times 8\times 8& =& 512\\ 9\times 9\times 9& =& 729\end{array}$

Therefore, there are $8$ perfect cubes between $1$ and $1000$.