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anonymous

  • one year ago

If a polyhedron has a volume of 23cm^3 and is dilated by a factor of 1/5, what will be the volume of the dilated polyhedron? Round your answer to the nearest thousandth if necessary. volume=_____

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  1. mathstudent55
    • one year ago
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    If you dilate all linear dimensions of a solid by a factor of k, the area is dilated by a factor of k^2, and the volume is dilated by a factor of k^3.

  2. anonymous
    • one year ago
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    so whats the answer? @mathstudent55

  3. mathstudent55
    • one year ago
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    The dilation factor is 1/5 What is (1/5)^3 = ?

  4. anonymous
    • one year ago
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    0.008

  5. anonymous
    • one year ago
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    so whats the volume then?

  6. mathstudent55
    • one year ago
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    Correct. Now multiply the original volume by 0.008 to find your answer.

  7. anonymous
    • one year ago
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    0.184 is that the volume?

  8. anonymous
    • one year ago
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    @mathstudent55

  9. mathstudent55
    • one year ago
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    Correct. 0.184 cm^3

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