Question

If the volume of two cube are in ratio 8:1 then ratio of their edges is

Answer 1

Answer:

Step-by-step explanation:

ratio of their volumes = 8 : 1

a³ / s³ = 8 / 1

( a/ s )³ = ( 2/1 ) ³

,

a : s = 2 : 1

ratio of edges = a : s = 2 : 1

Answer 2

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Hey Mate!!

Volume of cube = $side^{3}$

Let side of first cube be x.

Let side of second cube be y.

=> 8 : 1 = $x^{3}$ : $y^{3}$

$= > \frac{8}{1} = \frac{ {x}^{3} }{ {y}^{3} } \\ = > \frac{8}{1} = {( \frac{x}{y}) }^{3} \\ = > \sqrt[3]{ \frac{8}{1} } = \frac{x}{y} \\ = > \frac{2}{1} = \frac{x}{y}$

=> x : y = 2 : 1

Thus, the ratio of their sides is 2 : 1.