Answer:
137.2 m³
Step-by-step explanation:
Given the ratio of sides a : b , then
ratio of volumes = a³ : b³
Here ratio of sides = 5 : 7 , then
ratio of volumes = 5³ : 7³ = 125 : 343
let x be the volume of the larger prism then by proportion
[tex]\frac{50}{125}[/tex] = [tex]\frac{x}{343}[/tex] ( cross- multiply )
125x = 17150 ( divide both sides by 125 )
x = 137.2
That is volume of larger prism is 137.2 m³
