Answer-
It will take 665640 minutes for Strobe to travel one full rotation around its sun.
Solution-
Assuming all the time units i.e days and minutes are same as that of Earth, we know that a single day consists of 24 hours and each hour has 60 minutes in it.
We have been given that, Planet Strobe travels one full rotation around its sun in approximately 462.25 days.
Number of hours that is equivalent to 462.25 days is,
[tex]462.25\times 24=11094\ hours[/tex]
As we know the relationship between hours and minutes, 11094 hours is,
[tex]11094\times 60=665640\ hours[/tex]
Therefore,planet Strobe will take 665640 minutes to travel one full rotation around its sun.