Question

Volume if 2 cubes are in ratio 27:1 then ratio if edges

Answer 1

$ratio \: \: of \: \: volume \\ v1:v2 = 27:1 \\ ratio \: \: of \: \: edges = \sqrt[3]{v1} : \sqrt[3]{v2} \\ = \sqrt[3]{27} : \sqrt[3]{1} = 3:1$