Answer:
1350 cm³
Step-by-step explanation:
Given 2 similar solids with sides in the ratio a : b , then
ratio of volumes = a³ : b³
Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus
ratio of volumes A : B = 2³ : 3³ = 8 : 27
let x represent the volume of B then using proportion
[tex]\frac{8}{400}[/tex] = [tex]\frac{27}{x}[/tex] ( cross- multiply )
8x = 10800 ( divide both sides by 8 )
x = 1350
The volume of solid B = 1350 cm³
