Question

ratio of surface area of two cubes is 1ratio 4 .find the ratio of their volumes​

Answer 1

Answer:

1 is to 8

Step-by-step explanation:

law of volume and surface of an cube

the volume will be 1 is to 8

Answer 2

Answer:

1:8

Step-by-step explanation:

let a1 and a2 be the length of sides of 2 cubes

surface area of cube = 6a^2

ratio of surface area of two cubes =1: 4

6a1^2 /6a2^2 =1/4

a1^2 / a2^2=1/4

taking square root on both side

a1 /a2 = 1/ 2

volume of cube = a^3

ration of volume of 2 cubes = a1^3/a2^3 = (a1/a2)^3 = (1/2)^3 = 1/8

=1:8

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