How many cubic nanometers are in a cubic parsec?

1 Answer

#3.37394104xx10^76"nm"^3#

Explanation:

A parsec is a distance measurement used in astronomy, defined as the distance at which one astronomical unit subtends an angle of one arcsecond. It's equal to

#"32,313,140,071,200 km"#

To convert kilometres (km) to nanometres (nm), we need to know that we move the decimal 3 places to the right for km to m, then another 9 for m to nm, so we're moving 12 in all:

#"32,313,140,071,200,000,000,000,000 nm"#

But we want cubic, so we cube this number to get (google couldn't deal with all the digits, so I got an approximation of):

#"3.37394104e76 nm"^3#, which is

#337394104000000000000000000000000000000000000000000000##"0000000000000000000000 nm"^3#

I'll let the reader put in the commas.

Fun Fact - this number, the number of cubic nanometres in a cubic parsec, is approaching the number of elementary particles in the universe, currently theorized at #10^80#.

https://www.google.co.th/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=the+number+google
https://en.wikipedia.org/wiki/Parsec