Answer:
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
