Answer:
135 cubes
Step-by-step explanation:
step 1
Find the volume of one cube
we know that
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}{3}\ units[/tex]
substitute
[tex]V=(\frac{1}{3})^3[/tex]
[tex]V=\frac{1}{27}\ units^3[/tex]
step 2
Find out how many 1/3 unit cubes does it take to fill the prism
Divide the volume of the prism by the volume of one cube
so
[tex]5:\frac{1}{27}=5(27)= 135\ cubes[/tex]
