Answer:
[tex]57,152\ cubes[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
[tex]V=LWH[/tex]
we have
[tex]L=11\frac{3}{4}\ in[/tex]
[tex]W=9\frac{1}{2}\ in[/tex]
[tex]H=8\ in[/tex]
step 1
Convert mixed number to an improper fractions
[tex]L=11\frac{3}{4}\ in=\frac{11*4+3}{4}=\frac{47}{4}\ in[/tex]
[tex]W=9\frac{1}{2}\ in=\frac{9*2+1}{2}=\frac{19}{2}\ in[/tex]
step 2
Find the volume of the rectangular prism
[tex]V=(\frac{47}{4})(\frac{19}{2})(8)=893\ in^{3}[/tex]
step 3
Find the volume of the cube
The volume of the cube is equal to
[tex]V=(\frac{1}{4})^{3}=\frac{1}{64}\ in^{3}[/tex]
step 4
Divide the volume of the rectangular prism by the volume of the cube
[tex]893/(1/64)=57,152\ cubes[/tex]
