Answer :
Answer:
108 cubes
Step-by-step explanation:
step 1
Find the volume of the cube with side length of 1/3 units
The volume of the cube is equal to
[tex]V=b^3[/tex]
where
b is the side length
we have
[tex]b=\frac{1}{3}\ units[/tex]
substitute
[tex]V=(\frac{1}{3})^3[/tex]
[tex]V=\frac{1}{27}\ units^3[/tex]
step 2
To find how many cubes are needed to fill the prism, divide 4 cubic units (volume of the rectangular prism) by 1/27 cubic units (volume of one cube)
[tex]4:\frac{1}{27}=4*27= 108\ cubes[/tex]