Answer:
518.4 in³
Step-by-step explanation:
The ratio of the sides of the prisms = 5 : 6, hence
the ratio of their volumes = 5³ : 6³ = 125 : 216
let x be the volume of the larger prism then by proportion
[tex]\frac{125}{300}[/tex] = [tex]\frac{216}{x}[/tex] ( cross- multiply )
125x = 216 × 300 ( divide both sides by 125 )
x = [tex]\frac{216(300)}{125}[/tex] = 518.4
The volume of the larger prism is 518.4 in³
