128 ft³
Step-by-step explanation:
given the scale factor of 2 similar solids is a : b , then
ratio of volumes = a³ : b³
here a : b = 3 : 4
then 3³ : b³ = 3³ : 4³ = 27 : 64
let x be volume of larger solid then by proportion
27x = 3456 ( divide both sides by 27 )
x = 128
the volume of the larger solid is 128 ft³