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Answered

The surface areas of two cubes have a ratio of 49 to 81. What is the

ratio of the edge lengths of the two cubes?

A

7 to 9

B

1 to 32

C

32 to 49

D

3 to 4

Answer :

Answer:

A

7 to 9

Step-by-step explanation:

We have that:

The ratio of the edges is x.

The ratio of the surface areas is given by [tex]x^2[/tex]

The ratio of the volumes is given by [tex]x^3[/tex]

In this question, we have that:

[tex]x^2 = \frac{49}{81}[/tex]

So

[tex]x = \sqrt{\frac{49}{81}} = \frac{7}{9}[/tex]

So the correct answer is given by option A.

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