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Question
If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is
Options
8 : 1
2`sqrt(2):1`
2 : 1
none of these
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Solution
Let,
`V_1-V_2`→ Volumes of the two cubes
`a_1,a_2→` Edges of the two cubes
We know that,
V = a3
So,
`V_1/V_2 = (a_1^3)/(a_2^3)`
`8/1 = (a_1/a_2)^3`
`a_1/a_2 = 2:1`
Ratio of their edges is 2:1 .
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