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Find the Volume

  1. May 7, 2013 #1
    1. The problem statement, all variables and given/known data
    The volume is 512cm^3. Known as V=abc; a = 2b, b = 2c. Find a, b, c


    2. Relevant equations
    V = 512cm^3.
    a = 2b
    b = 2c


    3. The attempt at a solution
    V=2b * 2c * c
    V=2b * 2c^2
    512cm^3=2b * 2c^2
     
  2. jcsd
  3. May 7, 2013 #2
    You know the relation between b and c, so you can write this expression in terms of 1 variable.
     
  4. May 7, 2013 #3
    So this would be written as 2 * 2c * 2c^2 which would result to 8c^3, right?
     
  5. May 7, 2013 #4
    Yes :-)
     
  6. May 7, 2013 #5
    I came to the result where V=8c^3 and c = 4 cm. Then b was found from the equation of 2c, and a was found by the equation of 2b.

    I came to the result;
    a = 16cm,
    b = 8cm,
    c = 4cm

    V = 16cm * 8cm * 4cm
    V = 512 cm^3

    Which is correct. Thank you for the help!
     
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