A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction unit. How many \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?

the correct question is
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many cubes does it take to fill the prism?

we know that
[volume of the cube]=b³
b=1/4 unit
[volume of the cube]=(1/4)³------> 1/64 unit³

if 1 cube has a volume of ----------------> (1/64) unit³
x cubes--------------------------------> 2 unit³
x=2/(1/64)-----> x=2*64----> x=128 cubes

the answer is
128 cubes