Question

Two cubes have their side in the ratio of 1:2 the ratio of their volumes is​

Answer 1

Answer:

1:8

Volume of cube =

${s}^{3} \\ let \: edges \: of \: 1st \: and \: 2nd \: cubes \: be \: x \: an \: 2x \\ then \: the \: ratio \: of \: edges \: = \frac{x}{2x} = \\ 1 \:is \: to2 \\ and \: ratio \: of \: volume = \frac{ {(x)}^{3} }{ {(2x)}^{3} } \\ = \frac{1}{8}$

Hence the ratio is,

1:8