Question

The ratio of the volumes of two cubes is 27: 64. Find the ratio of their sides​

Answer 1

$length = \frac{a {}^{3} }{ {b}^{3} } = \frac{27}{64}$

$\frac{a}{b} = \frac{3}{4}$

$a = \frac{3b}{4}$

$= \frac{1st Cube }{surface \: area \: }$

$= \frac{6 {a}^{2} }{6 {b}^{2} } = \frac{ {a}^{2} }{ {b}^{2} }$

$= \frac{ \frac{3b}{4 } ^{2} }{b ^{2} }$

$= \frac{9}{16}$

$= 9 \: : 16$