Two cubes have volumes in the ratio 27: 64. Find the ratio of their surface areas

Ratio of their surface area = 9:16

Step-by-step explanation:

Volume of cube A = a^3

Volume of cube B = b^3

Ratio of their volumes= 27:64

Volume of cube A = a^3

27 = a^3

a= 3√27

= 3

Volume of cube B = b^3

64 = b^3

b =3√64

= 4

Surface area of cube a = 6a^2

=6 × 3^2

= 6 × 9

= 54

Surface area of cube b = 6b^2

= 6 × 4^2

= 6 × 16

= 96

Surface area of cube a : surface area of cube b

= 54:96

= 9:16

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