Question

The sides of a cube are doubled. Find the ratio between the volume of the first cube and the new cube.

Answer 1

let initially edges be "a"
$volume = {a}^{3}$
..


now edges are =2a

$volume = {2a}^{3} = 8 {a}^{3}$
ratio=1:8

Answer 2

Heya!
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◾Let the side of the first cube be 'a'

=> Volume => a³----------------<1>

◾Let the side of the other cube be '2a'

=> Volume = (2a)³

=> 8a³ --------------------<2>

From <1> and <2> the volume has increased 8 times !!


▪so required Ratio is 1:8
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