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How many cubic nanometers are in a cubic parsec?

Answer 1

#3.37394104xx10^76"nm"^3#

In astronomy, a parsec is a unit of measurement for distance that is equivalent to one astronomical unit subtending one arcsecond of angle.

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

The decimal is moved three places to the right from km to m and then another nine places to the right from m to nm, for a total of 12 moves, in order to convert kilometres (km) to nanometers (nm):

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

However, since we want cubic, we cube this number (google was unable to handle all the digits, so I was able to approximate it):

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

#337394104000000000000000000000000000000000000000000000##"0000000000000000000000 nm"^3#

I'll leave the commas up to the reader.

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#.

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Answer 2

Josiah Adams

A cubic parsec is equivalent to 2.938 × 10^80 cubic nanometers.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.