Answer:
[tex]800\ cubes[/tex]
Step-by-step explanation:
Step 1
Find the volume of the prism
we know that
The volume of the prism is equal to
[tex]V=LWH[/tex]
In this problem we have
[tex]L=5\ in[/tex]
[tex]W=4/5\ in[/tex]
[tex]H=1 3/5\ in=8/5\ in[/tex]
substitute the values
[tex]V=5(4/5)(8/5)=32/5\ in^{3}[/tex]
Step 2
Find the volume of the cube
we know that
the volume of the cube is equal to
[tex]V=b^{3}[/tex]
where
[tex]b=1/5\ in[/tex]
substitute
[tex]V=(1/5)^{3}=1/125\ in^{3}[/tex]
Step 3
Divide the volume of the prism by the volume of the cube
[tex]\frac{(32/5)}{(1/125)}=25*32=800\ cubes[/tex]
