Answer:
24 cubes
Step-by-step explanation:
First, we need to find the volume of the prism. To do this, we multiply the length by the width by the height, so [tex]1 \cdot 2 \cdot \frac {3}{2} = 3[/tex]. Then, we need to find the volume of one small cube, which has a length, width, and height of [tex]\frac {1}{2}[/tex], so [tex]\frac {1}{2} \cdot \frac {1}{2} \cdot \frac {1}{2} = \frac {1}{8}[/tex]. Then we divide the volume of the prism by the volume of a cube to find how many could fit, so [tex]3 \div \frac {1}{8} = 24.[/tex]
