SOLUTION: If a polyhedron has a volume of 21cm^3 and is dilated by a factor of 3/4, what is the volume of the dilated polyhedron? Can you explain how to get the answer?

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Question 1062949: If a polyhedron has a volume of 21cm^3 and is dilated by a factor of 3/4, what is the volume of the dilated polyhedron? Can you explain how to get the answer?
Answer by ikleyn(52815) About Me  (Show Source):
You can put this solution on YOUR website!
.
The image of the dilated polyhedron is SIMILAR to the original polyghedron.

Coefficient of similarity image%2Foriginal = 3%2F4.

Hence the ratio Volume_of_the_image%2FVolume_of_the_original = %283%2F4%29%5E3 = 27%2F64.

Then the Volume of the image is 21%2A%2827%2F64%29.

Use your calculator.