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What is the ratio of two cubes' edges if their volumes have an 8:1 ratio?

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8: 1

2: 5

2: 1

none of these

answer is C.

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Detailed Solution

Given that, volumes of cubes have an 8:1 ratio.
To find the ratio of sides using volume relation-

V 1 V 2 = 81

Formula that we will be required to solve this question
Volume of cube

= a 3

where a is the side of the cube.

⇒ a 13 a 23 = 81

Now, we will equate the value to find the ratio-

⇒ a 13 a 23 = 81

⇒ a 1 a 2 = 21

The ratio comes out to be 2:1.
Hence, option 3 is the correct option.

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