How do I convert cubic picometer to cubic centimeter?

[Rajdeep Biswas]

Part of the question says: An unit cell has a cell edge of 288 pm.
I got to the part where volume (288 pm)^3 = (288 x 10^-10 cm)^3
I have no idea how that equals 2.39 x 10^-23 cm^3

Only the Bold part ^

 

[fresh_42]

##288^3=2.39 \cdot 10^{7}##

 

[Cutter Ketch]

... (288 x 10^-10 cm)^3
I have no idea how that equals 2.39 x 10^-23 cm^3

I'm a little confused. Plug 288x10^-10 into your calculator and hit the cubed button. If you would like to do it in your head try

(288e-10)^3 = (2.88e-8)^3
= 2.88^3 x (10^-8)^3
= 2.88^3 x 10^-24
= (3-0.12)^3 x 10^-24
= (3^3 - 3*3^2*0.12 + small) x 10^-24
~= 27*(1-0.12) x 10^-24
~= (27-2.7-0.54) x 10^-24
= 2.376 x 10^-23

 

[CWatters]

(288 * 10^-10)³
= 288³ * (10^-10)³
= 2.39 * 10⁷ * 10^-10 * 10^-10 * 10^-10
= 2.39 * 10^-23