Factor Label Help!!!

Using the fact that a light year is the distance light travels in one year, calculate the volume of space in cubic miles that is equal to 1 cubic light year (the speed of light is 186000 miles/second)

Question

Factor Label Help!!!

Using the fact that a light year is the distance light travels in one year, calculate the volume of space in cubic miles that is equal to 1 cubic light year (the speed of light is 186000 miles/second)

anonymous · Answer

See if you can figure it out

The miles has 3 in the exponent since it is cubed.
The unit for the answer  is cubic miles traveled in a light year. (mi^3/yr)

anonymous · Answer

I gave you a hint because of the way I put plurals in the units.

kmcunningham · Answer

I can probably take it from here.  Thank you SO much omg.

kmcunningham · Answer

wait which units am I cubing?

anonymous · Answer

The miles is already cubed for you.
Miles would be the unit to cubed though since they are looking for miles cubed.

Ah ok.
Good luck solving it.
You can ask me for help if you are finished.

kmcunningham · Answer

thank you

anonymous · Answer

Yes, have fun figuring the cubic miles!

kmcunningham · Answer

wait, do i cube the 186000?

kmcunningham · Answer

so it would be to 3 sig figs

2.03x10^23 mi^3/yr ?

anonymous · Answer

Wait I take that back you dont cube anything until you find the miles traveled in a light year.

anonymous · Answer

so (186000 miles x 60seconds x 60 minutes x 24 hours x 365days)^3
Units would be in cubic miles.