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ryzh [129]
3 years ago
11

Two cubes have their surface areas in the ratio 1:4 , what is the ratio of their volumes ?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

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 = \sqrt{1} : \sqrt{4} = 1 : 2

ratio of volumes = 1³ : 2³ = 1 : 8


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