Question

What will be the ratio of volumes of two cubes, whose sides are in the ratio 1 : 3?

Answer 1

Answer:

please see the picture dear...

Answer 2

$\: \: \boxed{\boxed{\sf{\mapsto \: Firstly \: let \: us \: understand}}}$

$\mathsf\green{☆ \: Volume \: of \: cube \: = \: {x}^{3}}$

$\mathsf{Where ; \: x \: = \: Side \: of \: cube}$

$\mathsf\red{Given}$

$\mathsf{The \: sides \: of \: cube \: are \: in \: ratio \: 1:3}$

$\mathsf{Let \: these \: ratios \: be \: 1x \: and \: 3x}$

$\mathsf\red{Let \: us \: find \: thier \: volume \: ratio}$

$\mathsf\green{☆ \: Volume \: of \: cube \: = \: {x}^{3}}$

$\mathsf{So}$

$\mathsf{({1x}^{3}) : ({3x}^{3})}$

$\mathsf{1{x}^{3} : 27{x}^{3}}$

$\mathsf{1 : 27}$

$\mathsf\red{\therefore \: thier \: volume \: ratio \: = \: 1:27}$

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