SOLUTION: Ratio of surface areas of two cubes is 1:4. find the ratio of their volumes.
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Question 185570: Ratio of surface areas of two cubes is 1:4. find the ratio of their volumes.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Ratio of surface areas of two cubes is 1:4. find the ratio of their volumes.
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Surface area of a cube = 6s^2 where s is the length of a side
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Let the smaller surface area be 6s^2, where s=1
Then the larger surface area is 4(6s^2) = 6(4s^2) = 6(2s)^2, where side = 2
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So, smaller cube has volume s^3
and larger cube has volumne (2s)^3 = 8s^3
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Ratio of their volumnes is 1:8
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Cheers,
Stan H.
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