1. Calculate the volume of the prism:

* Volume = length x width x height

* Volume = 2 inches x 4 inches x 8 inches

* Volume = 64 cubic inches

2. Calculate the volume of a single cube:

* Volume of a cube = side x side x side

* Volume of a cube = 1 inch x 1 inch x 1 inch

* Volume of a cube = 1 cubic inch

3. Divide the prism's volume by the cube's volume:

* Number of cubes = Volume of prism / Volume of cube

* Number of cubes = 64 cubic inches / 1 cubic inch

* Number of cubes = 64

Therefore, 64 1-inch cubes can fit into a 2 by 4 by 8 inch prism.