The volume of two cubes are in the ratio 8 : 512 . Find the ratio of their edges and suface areas.

v = 8x

v = 512x

FORMULA FOR SURFACE AREA OF CUBE

a = Edge of cube

Surface area of cube = 6 * a²

Volume of first cube (V) = 8

a³ = 8

a = 2

Edege of first cube is (a)= 2 unit

Volume of second cube (V) = 512

A³ = 512

A = 8

Edege of second cube is (A)= 8 unit

Edege of first cube is (a) / Edege of second cube is (A) = 2 Unit / 8 Unit = 2 / 8

Surface area of first cube (6*a²) / Surface area of second cube (6*A²) = (6 * 2²) / ( 6 * 8²)

= 4 / 64

=1 / 16

Ratio of surface area is 1 : 16 .