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

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



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User Deworde
by
8.2k points

2 Answers

2 votes

Answer:

216 : 343

Explanation:

User Karthik Saxena
by
9.0k points
2 votes

Answer:

The ratio of their volumes is equal to
(216)/(343)

Explanation:

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x/y----> the ratio of its volumes

so


z^(3)=(x)/(y)

we have


z=(6)/(7)

substitute


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


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

rewrite


(x)/(y)=((216)/(343)) -----> the fraction is irreducible


User Manjeet Brar
by
8.2k points

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