Answer:
To fill the rectangular prism, 648 cubes are needed.
Step-by-step explanation:
It is given that a rectangular prism has a length of 6 cm width of 3 cm and a height of 4 1/2 cm.
The volume of a rectangular prism is




The volume of rectangular prism is 81 cm³.
The volume of a cube is

Where a is the side length.
The volume of a cube with edge 1/2.


To fill the rectangular prism, the required number of cubes is



Therefore, to fill the rectangular prism, 648 cubes are needed.