A box measures 4 units by 2 and 1/2 units, by 1 and 1/2 units. What is the greatest number of cubes with a side length of 1/2 unit that can be packed inside the box?

120 cubes

Step-by-step explanation:

First we need to find the volume of the box and the volume of the cube.

Volume of box = 4 * 2.5 * 1.5 = 15 cubic units

Volume of cube = 0.5 * 0.5 * 0.5 = 0.125 cubic units

Now, to find how many cubes can be packed inside the box, we just need to divide the volume of the box by the volume of the cube:

number of cubes = volume of box / volume of cube

number of cubes = 15 / 0.125 = 120 cubes