Question

Which $3$ digit number is both a square and a cube?

Answer 1

Find a $3$ digit number is both a square and a cube.

A $3$ digit number $729$ is a number which is a square of $27$ and cube of $9$.

$$\begin{gathered} 9^3=729 \\ {27}^2=729 \end{gathered}$$

Thus, a $3$ digit number is both a square and a cube is $729$.