The ratio of the sides of 2 similar cube dis 3:4 the smaller cube has a volume of 729 Wat is the volume of the larger cube

Answer 1

volume of cubes is proportioanl to the cube of their corresponding sides

so V/729 = 4^3/3^3
27V = 46656
V = 1728

notice the sides increased by a ratio of 4:3

and 1728/729 = 64/27 = 4^3 : 3^3