Since the prism completely filled with 2304 cubs
Since the edge of the cube is 1/4 cm
Since the volume of the cube = edge x edge x edge
Then find the volume of 1 cube, then multiply it by the number of cubes to find the volume of the prism
[tex]V_c=\frac{1}{4}\times\frac{1}{4}\times\frac{1}{4}=\frac{1}{64}cm^3[/tex]Multiply it by 2304
[tex]V_P=2304\times\frac{1}{64}=36cm^3[/tex]The volume of the prism is 36 cm^3