Step 1. To find the volume of a cube, we use the following formula:

Where V is the volume and s is the length of the side of the cube.
In this case:

Step 2. Substituting the value of s into the formula:

This can be simplified as follows:

Calculating 3^3 is 3x3x3=27 and 8^3 is 8x8x8=512, thus:

This is the solution represented as an improper fraction.
Answer:
