ANSWER
4375 unit cubes
EXPLANATION
The volume of a right rectangular prism is given by;
[tex]V=lbh[/tex]
We substitute the given dimension to obtain,
[tex]V=14 \times 6 \times \frac{10}{3} = 280i {n}^{3} [/tex]
The volume of the unit cube with edge lengths
[tex] \frac{2}{5} [/tex]
is
[tex] (\frac{2}{5})^{3} = \frac{8}{125} {in}^{3} [/tex]
To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.
[tex] = \frac{280}{ \frac{8}{125} } [/tex]
[tex] = 4375[/tex]
