What is the height of the smaller model in this statue scaling problem?

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SUMMARY

The discussion centers on calculating the height of a smaller model of a statue that has been scaled down from an initial volume of 4.25 m³ to a final volume of 0.250 m³. The original height of the statue is 215 cm. The volume reduction indicates a scaling factor of 1/17, which is derived from the ratio of the two volumes. To find the new height, one must take the cube root of 1/17 and multiply it by the original height of 215 cm, resulting in the height of the smaller model.

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Homework Statement



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.

Homework Equations



no clue

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
 
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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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