SOLUTION: A small cube is cut from a large cube. The ratio of the remaining volume to the original volume is 19 : 27. If the small cube has lengths of 6cm, find the length of the sides of th

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Question 1122440: A small cube is cut from a large cube. The ratio of the remaining volume to the original volume is 19 : 27. If the small cube has lengths of 6cm, find the length of the sides of the large cube (before the small cube was removed).
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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The ratio of cube volumes is  %2827-19%29%2F27 = 8%2F27,


so the ratio of their sides is  root%283%2C+8%2F27%29 = 2%2F3.


Since the small cube has the side length of 6 cm, it implies that the large cube has the side length of 9 cm.

Solved.