Answer to Question #29967 in Analytic Geometry for Mary
Ratio of surfaces is S1/S2=k^2=(a1/a2)^2
Ratio of Volumes is V1/V2=k^3=(a1/a2)^3
Suppose, that the first cube has edge A, and the second one - B, then according to mentioned above facts and using given data we have:
Taking square root we obtain: A/B=2/3.
Thus according to mentioned above facts and using found data we have:
Ratio of the volumes is V1/V2=(A/B)^3=8/27 - and that's the answer.
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