Question

The surface area of one cube is twice the surface area of a second cube.

Answer 1

Answer:

$2\sqrt{2} :1$

Step-by-step explanation:

This question was linked from another one regarding the lengths of the cubes, you can find it here: brainly.com/question/22396279

That question gave you the ratio of the lengths, which is $\sqrt{2} :1$. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.

So the ratio of volumes would be $\sqrt{2} ^3:1^3$, which can be simplified as $2\sqrt{2} :1$.