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Statue scaling problem

  1. Sep 23, 2009 #1
    1. The problem statement, all variables and given/known data

    A statue is to be 'scaled down.' It will have its size changed without changing its shape. It starts with an initial volume of 4.25 m^3 and ends up with a final volume of 0.250 m^3.

    If the height of the original statue was 215 cm, calculate the height of the smaller model.

    2. Relevant equations

    no clue

    3. The attempt at a solution

    I am assuming there has to be some sort of proportionality to this. the volume is shrinking to 1/17th the original size. the height is only one of the three dimensions that make up the volume. so there must be someway to use that to figure this out, but I have no idea.

    thanks
     
  2. jcsd
  3. Sep 24, 2009 #2

    rl.bhat

    User Avatar
    Homework Helper

    Find the cube root of 1/17. That into the original height of the statue will be the new height of the smaller statue.
     
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