Question

the volume of two cubes are as 125:729. find the ratio of their edges. what us tha ratio of their surface areas?​

Answer 1

Step-by-step explanation:

$let \: the \: edges \: of \: both \: cubes \: be \\ \: x_1 \: and \: x_2 \\ thus \\ \frac{ {x_1}^{3} }{ {x_2}^{3} } = \frac{125}{729} \\ \frac{x_1}{x_2} = \frac{5}{9} \\x_1 : x_2 \: = 5 : 9 \\ ratio \: of \: surface \: areas \\ = \frac{ {6x_1}^{2} }{ {6x_2}^{2} } = \frac{ {5}^{2} }{ {9}^{2} } = \frac{25}{81} = 25 : 81$

Answer 2

Answer:

Step-by-step explanation: