Given:
Volume of Large cube = 1 cubic unit
Volume of small cube =
cubic unit
To find:
The difference between the edge length of the large cube and the edge length of the small cube.
Solution:
Let the edges of large and small cubes are
and
respectively.
We know that, volume of a cube is

Volume of Large cube = 1 cubic unit

Taking cube root on both sides, we get

So, edge of large cube is 1 unit.
Volume of small cube =
cubic unit

Taking cube root on both sides, we get

So, edge of large cube is
unit.
Now, difference between them is




Therefore, the difference between the edge length of the large cube and the edge length of the small cube is
unit.