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If the sides of two shapes are in the ratio of A : B, then their volumes are in the ratio A3 : B3, thus:

ratio of volumes = 125 : 9

ratio of sides = 3√125 : 3√9 ~= 5: 2.08

(~= 2.4 : 1)

Have you got the volumes correct?

I suspect the second should be 8cm3 not 9cm3, because then the volumes would be 125cm3 and 8cm3 and:

ration of volumes = 125 : 8

ratio of sides = 3√125 : 3√8

= 5 : 2

(= 2.5 : 1)

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βˆ™ 2011-04-04 08:01:29
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Q: If two similar prisms have volumes of 125 cm3 and 9 cm3 what is the side ratio of the two prisms?
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