Question : Each side of a cube is decreased by 25%. Find the ratio of the volumes of the original cube and the resulting cube.
Option 1: 8 : 1
Option 2: 27 : 64
Option 3: 64 : 1
Option 4: 64 : 27
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Correct Answer: 64 : 27
Solution :
If each side of a cube is decreased by 25%, the new side length =
The volume of the new cube
The ratio of the volumes of the original cube and the resulting cube,
⇒
Hence, the correct answer is 64 : 27.
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