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  • 18-01-2019
  • Mathematics
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Two cubes have their surface areas in the ratio 1:4 , what is the ratio of their volumes ?

Two cubes have their surface areas in the ratio 14 what is the ratio of their volumes class=

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jimrgrant1 jimrgrant1
  • 18-01-2019

Answer:

1 : 8

Step-by-step explanation:

For similar figures with ratio of sides = a : b

Then ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Given ratio of areas = 1 : 4

linear ratio = [tex]\sqrt{1}[/tex] : [tex]\sqrt{4}[/tex] = 1 : 2

ratio of volumes = 1³ : 2³ = 1 : 8


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