Answer:
148 in³
Step-by-step explanation:
The equation for the volume of a cube is [tex]V = a^{3}[/tex]
Here, [tex]a = \frac{1}{3}[/tex].
[tex]V=\frac{1}{3} ^{3}[/tex]
[tex]V = \frac{1}{27}[/tex]
So, the volume of each cube is [tex]\frac{1}{27}[/tex] in.
The prism is filled completely with 3996 of these cubes.
[tex]3996*\frac{1}{27} = 148[/tex]
The volume of the prism is 148 in³.
