SOLUTION: The ratio of two sides of two cubes is 2:3 and the difference of their volume is 152 cm^3. What is the length of the side of the bigger cube?

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Question 975333: The ratio of two sides of two cubes is 2:3 and the difference of their volume is 152 cm^3. What is the length of the side of the bigger cube?
Answer by Alan3354(69443) About Me  (Show Source):
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The ratio of two sides of two cubes is 2:3 and the difference of their volume is 152 cm^3. What is the length of the side of the bigger cube?
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Vol = k*s^3 where k = constant and s = side length
--> ratio of volumes is 8:27
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27k - 8k = 152
k = 8
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Volumes are 64 & 216
Sides are 4 & 6