Question

8. Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas is
(a) 1:3
(b) 1:9
(c) 1:27
(d) none of these​

Answer 1

Answer:

volume of 1 cube = a^3

1 = a^3

a = 1

surface area of 1 cube = 6a^2

= 6(1)^2 = 6

volume of 2 cube = a^3

27 = a^3

a = 3

surface area of 2 cube = 6a^2

= 6(3)^2 = 6(9) = 54

ratio = 6/54 = 1/9

1:9 ..

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Answer 2

Answer:

1:9

Step-by-step explanation:

Ratio = volume of cube 1 : Volume of cube 2

= a^3 : a^3

= 1: 27

=> a : a

=> 1: 3

surface area of cube 1 : Surface area of cube 2

=> 6a^2 : 6a^2

=> 6× 1^2 : 6× 3^2

=> 6 : 54

=> 3:27

=> 1:9