Answer:
8 : 1
Step-by-step explanation:
Given ratio of sides = a : b, then
ratio of area = a² : b²
ratio of volumes = a³ : b³
Given
ratio of areas = 384 : 96 = 4 : 1 ← in simplest form, then
ratio of sides = [tex]\sqrt{4}[/tex] : [tex]\sqrt{1}[/tex] = 2 : 1
Hence
ratio of volumes = 2³ : 1³ = 8 : 1
