Question 227704
While we do not know the actual sides of the cubes, we can write variable expressions for them. And as long as the ration of our expressions is 2/3, our expressions will work.<br>
The simplest expressions which have a ratio of 2/3 would be 2x and 3x. Now let's see how the volumes work out. {{{V = s^3}}} so the volume of the cube with side 2x would be: {{{V[1] = (2x)^3 = 8x^3}}}. And the other volume would be: {{{V[2] = (3x)^3 = 27x^3}}}. And the ratio of these volumes would be {{{(8x^3)/(27x^3) = 8/27}}}