SOLUTION: The ratio of the volumes of two similar hexagonal prisms is 343:1331. What is the ratio of their lateral areas? Ratio of the lateral areas= ?

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Question 1194057: The ratio of the volumes of two similar hexagonal prisms is 343:1331. What is the ratio of their lateral areas?
Ratio of the lateral areas= ?
Answer by greenestamps(13200) About Me  (Show Source):
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The ratio of the volumes is 343:1331 = (7^3):(11^3).

That means the scale factor (ratio of any linear measurements on the two prisms) is 7:11.

And that means the ratio of any area measurements on the two prisms is (7^2):(11^2) = 49:121.

ANSWER: 49:121