Answer:
D) 4176 unit cubes
Step-by-step explanation:
Length of the right rectangular prism [tex]=7\frac{1}{4}[/tex] inches
Width of the right rectangular prism [tex]=8[/tex] inches
Height of the right rectangular prism [tex]=9[/tex] inches
Then volume of the right rectangular prism = (Length)(Width)(Height)
[tex]=\left(7\frac{1}{4}\right)\left(8\right)\left(9\right)[/tex]
[tex]=\left(7.25\right)\left(8\right)\left(9\right)[/tex]
[tex]=522[/tex] cubic inches
Now volume of the small cubic prism [tex]=(Length)^3=\left(\frac{1}{2}\right)^3=\frac{1}{8}[/tex]
Then number of cubes that can fit into the right rectangular prism [tex]=\frac{522}{\left(\frac{1}{8}\right)}=522*8=4176[/tex]
Hence correct choice is D) 4176 unit cubes
