Answer:
192 cubes.
Step-by-step explanation:
The volume of each cube = (side)³ = (1/4)³ = 1/64 units ³
Next is to find how many cubes are needed to fill the prism.
The number of cubes that will fill the prism :
Vol. of prism / Vol. of cube = 3 / [tex]\frac{1}{64}[/tex]
=192 cubes.
Therefore, it takes 192 cubes to fill the prism.