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

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) (Show Source): You can put this solution on YOUR website!
.

The ratio of cube volumes is   = ,


so the ratio of their sides is   = .


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.

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