ANSWER
2160 cubes
EXPLANATION
The given rectangular prism has edge lengths,
9 inches,9inches and 3⅓ inches.
The volume of this rectangular prism is
[tex]V = 9 \times 9 \times \frac{10}{3} [/tex]
[tex]V = 3 \times 9 \times 10 = 270 {in}^{3} [/tex]
A cube with unit edges of length
[tex] \frac{1}{8} [/tex]
has volume.
[tex]v = {( \frac{1}{8}) }^{3} = \frac{1}{8} [/tex]
The number of unit cubes that can go into the prism is
[tex] = \frac{270}{ \frac{1}{8} } = 2160[/tex]
