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Two similar solids have a scale factor or 6:7.

What is ratio of their volumes, expressed in lowest terms?

User Excellll
by
8.7k points

2 Answers

5 votes

Answer:

Ratio's is 216 : 343

Step-by-step explanation:

Volume of one solid is x, and the other is y

Scale factor = 6 : 7

Volume of solid = a³

Solve:


(x)/(y)=((6)/(7))^(3)


(x)/(y)=(216)/(343)

Hence, the volume of one solid is 216 and the other is 343

As a Ratio:

216 : 343

User Gigoland
by
8.1k points
4 votes

Answer:

ratio's of their volume is 216 : 343

Step-by-step explanation:

Let volume of one solid be x, another be y

given scale factor = 6 : 7

volume of solid = a³

solve:


\sf (x)/(y) = ((6)/(7) )^3}


\sf (x)/(y) = (216)/(343) }

║ Therefore volume of one solid is 216 and another 343 ║

In ratio form:

216 : 343

User DAddYE
by
7.4k points

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