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If two similar prisms have volumes of 125 cm3 and 9 cm3 what is the side ratio of the two prisms?
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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