Respuesta :

mumsy

Answer:

Step-by-step explanation:

let x be the unknown volume

5/7=50/x

x=70

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

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