Answer:
24
Step-by-step explanation:
If we want to cover the base of the prism having dimensions 2 cm × 1 cm with [tex]\frac{1}{2}[/tex] cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.
Width is 1 cm, so there can fit 2 cubes of length [tex]\frac{1}{2}[/tex] cm and length is 2 cm, where 4 cubes of length [tex]\frac{1}{2}[/tex] cm can fit. So, in total (4 × 2) = 8 cubes of [tex]\frac{1}{2}[/tex] cm length.
Now, height of the prism is [tex]\frac{3}{2}[/tex] cm where 3 cubes of length [tex]\frac{1}{2}[/tex] cm can fit.
Therefore, in total there can be (8 × 3) = 24 cubes of [tex]\frac{1}{2}[/tex] cm length. (Answer)
