Question

How many whole numbers are there, whose squares and cubes have the same number of digits?

Answer 1

Answer:

there are only 4 whole numbers whose squares and cubes have the same number of digits.

Explanations:

let 0, 1, 2 and 4∈W (where W is a whole number), then

$0^2=0$, $0^3=0$,

$1^2=1$, $1^3=1$,

$2^2=4$, $2^3=8$,

$4^2=16$, $4^3=64$.

You can see from the above that only four whole numbers are there whose squares and cubes have the same number of digits