The length of the cubes which are to be filled in the given prism = 1/2 = 0.5 cm
Now we need to arrange the cubes along the sides of the prism.
The length of the prism is 2cm.
Number of cubes that can be arranged on length = 2/0.5 = 4 cubes
The width of the prism is 1cm.
Number of cubes that can be arranged on width = 1/0.5 = 2 cubes
And the height of the prism = 3/2 = 1.5 cm
Number of cubes that can be arranged = 1.5/0.5 = 3 cubes.
The total number of cubes needed to fill the prism
= 4 × 2 × 3
= 24 cubes.
24 cubes of 1/2 cm shall be needed to fill the prism.