A rectangular prism with a volume of 666 cubic units is filled with cubes with side lengths of \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction unit. How many \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction unit cubes does it take to fill the prism?

48 cubes.

Step-by-step explanation:

Let n represent number of cubes with each side units.

We have been given that a rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of units. We are asked to find the number of cubes that will fill the prism.

We know that volume of n cubes will be equal to volume of rectangular prism.

We also know that volume of a cube with side length 'x' is equal to .

Therefore, it will take 48 cubes with each side units to fill the prism.