Answer: 9
Step-by-step explanation:
Given
The dimension of a rectangular prism is
[tex]L=2\ in[/tex]
[tex]W=112\ in.[/tex]
[tex]h=114\ in.[/tex]
Volume of Prism [tex]V=L\times W\times h[/tex]
[tex]\Rightarrow V=2\times 112\times 114=25,536\ in.^3[/tex]
The volume of the unit cube
[tex]\Rightarrow V_c=14\times 14\times 14=2744\ in.^3[/tex]
Suppose there are n unit cubes to fit in a rectangular prism
[tex]\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9[/tex]
