Answer :
Answer:
48 cubes
Step-by-step explanation:
The complete question is
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?
step 1
Find the volume of the cube
The volume of the cube is equal to
[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
To find out how many half-unit cubes are needed to fill the prism, divide the volume of the prism by the volume of the cube
[tex]6:\frac{1}{8}=48\ cubes[/tex]