Mathematics If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is

$If the volumes of two cubes are in the ratio 8 : 1, then the ratio of their edges is$

A
$8 : 1$
B
$22 : 1$
C
$2 : 1$
D
$1 : 2$

Solution:

$V 1 V 2 = 81$

$⇒ a 13 a 23 = 81$

$⇒ a 1 a 2 3 = 81 ⇒ a 1 a 2 = 812$

$a 1 a 2 = 21$

$∴ a 1 : a 2 = 2 : 1$

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