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

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To determine the height of the smaller model of the statue, the volume ratio of the original to the scaled-down version is 17:1. The original statue has a height of 215 cm, and since the dimensions scale proportionally, the height of the smaller model can be found by taking the cube root of the volume ratio (1/17). Calculating this gives a scaling factor of approximately 0.287. Multiplying this factor by the original height results in a new height of about 61.6 cm for the smaller statue.
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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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