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

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