Question

ratio of surface area of cube cubes is 1:2 find the ratio of their volume​

Answer 1

Answer:

heyaa mate!!!

Step-by-step explanation:

Given:

Ratio of surface area of cube = 1:2

To find:

Ratio of volume = ?

Solution:

The surface area of cube = 6a^2

The volume of the cube = a^3

Let a , b donate the sides of cube1,cube 2 respectively.

Surface area of cube1,S.A1 = 6a^2

Surface area of cube 2,S.A2= 6b^2

Ratio =>S.A1 : S.A 2

=> 6a^2 : 6b^2

=> a^2 : b^2

a^2 :b^2 = 1:2

(a : b)^2 = 1:2

a : b = (1:2)^1/2

a : b = 1 : 2^1/2

Ratio of volumes => a^3 : b^3

=> 1 : 2× 2^1/2

The ratio of the volumes of the cube are 1 : 2 ×2^1/2

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