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The areas of two similar tetrahedrons are 24 sq. in. and 96 sq. in. Find the ratio of their volumes.
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If two similar tetrahedrons have areas in the ratio of 24 to 96, then the scale factor of the two tetrahedrons is sqrt(24/96) =sqrt(1/4) = 1/2.
The cube of the scale factor is the ratio of the volumes.
(1/2)^3 is the ratio of the volumes.
Thanks.
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