Answer:
Number of cubes that fills the prism=24
Step-by-step explanation:
The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm
Volume of the prism=[tex]Length*Width*Height[/tex]
[tex]Length=2 cm\\\\ Width=1 cm\\ \\ Height=3/2 cm = 1.5 cm[/tex]
Volume of Prism = [tex]2*1*1.5[/tex]
[tex]=3.0 cm^3[/tex]
Volume of the Cube:
[tex]Side*Side*Side\\\\=0.5*0.5*0.5[/tex]
[tex]= 0.125 cm^3[/tex]
Number of cubes that fills the prism:
[tex]3.0/0.125\\\\=24 cubes[/tex]
So, the number of cubes that can fill the prism is '24'
