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

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

Sagot :

fieryanswererft

Answer:

ratio's of their volume is 216 : 343

Explanation:

Let volume of one solid be x, another be y

given scale factor = 6 : 7

volume of solid = a³

solve:

[tex]\sf \frac{x}{y} = (\frac{6}{7} )^3}[/tex]

[tex]\sf \frac{x}{y} = \frac{216}{343} }[/tex]

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

In ratio form:

216 : 343

bignastyjack

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:

[tex]\frac{x}{y}=(\frac{6}{7})^{3}[/tex]

[tex]\frac{x}{y}=\frac{216}{343}[/tex]

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

As a Ratio:

216 : 343

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