Answer:
48 cubes
Step-by-step explanation:
step 1
Find the volume of one 1/2 unit cube
The volume of the cube is given by
[tex]V=b^3[/tex]
where
b is the length side of the cube
we have
[tex]b=\frac{1}{2}\ units[/tex]
substitute
[tex]V=(\frac{1}{2})^3[/tex]
[tex]V=\frac{1}{8}\ units^3[/tex]
step 2
Divide the volume of the prism by the volume of one cube
[tex]6:\frac{1}{8}=6(8)=48\ cubes[/tex]
