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How do I convert cubic picometer to cubic centimeter?

  1. Dec 23, 2016 #1
    • moved into the homework section, therefore no template shown
    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 ^
     
    Last edited by a moderator: Dec 23, 2016
  2. jcsd
  3. Dec 23, 2016 #2

    fresh_42

    Staff: Mentor

    ##288^3=2.39 \cdot 10^{7}##
     
  4. Dec 23, 2016 #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
     
  5. Dec 23, 2016 #4

    CWatters

    User Avatar
    Science Advisor
    Homework Helper

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