Question 549897
If you have two similar solids, one a larger version of the other, and the ratio of the corresponding lengths is {{{x}}}, the ratio of corresponding areas is {{{x*x=x^2}}}, and the ratio of corresponding volumes is {{{x*x*x=x^3}}}.
So the answer is {{{2^3=2*2*2=8}}}.
This is how the large cube would look if you made it out of the smaller cubes. {{{drawing(300,240,-5,5,-1,7,
rectangle(-4,0,0,4),
line(0,0,3.464,2),line(0,2,3.464,4),line(0,4,3.464,6),
line(-2,4,1.464,6),line(-4,4,-0.536,6),
line(-4,2,0,2),line(-2.268,5,1.732,5),line(-0.536,6,3.464,6),
line(-2,4,-2,0),line(1.732,5,1.732,1),line(3.464,2,3.464,6)
)}}}
You would have 8 small cubes: two layers of 4 cubes, one on top of the other,
Each edge of the large cube is 2 times as long as the edge of a small cube.
Each face of the large cube has 4 times the area of the face of a small cube.
The large cube has 8 times the volume of a small cube.