Answer:
![(3)/(3) * (2)/(3) *(3)/(3) =(2)/(3) \ in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rvwbyv20ssl85ngo1ttg05ytp1pp0agpbz.png)
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Explanation:
The question is missing the attached figure.
The edge of each cube used to build this rectangular prism is 1/3 inch long. Based on the attached figure.
the volume of the prism = length × height × width
length =
![3 * (1)/(3) = (3)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ipmk5ay3tgjv87h20v166z3vyly4mrjx00.png)
height =
![3 * (1)/(3) = (3)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ipmk5ay3tgjv87h20v166z3vyly4mrjx00.png)
width =
![2 * (1)/(3)= (2)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l2v6ftnw1yjlyck9876jy7gakk1dpz1ylf.png)
So the volume of the prism =
![(3)/(3) *(3)/(3) *(2)/(3) =(2)/(3) \ in^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tn54utg2u87z9c2vsv5o0emj9g11k4wppt.png)
∴ The equation that shows the volume of the prism, in cubic inches
=
![(3)/(3) * (2)/(3) *(3)/(3) =(2)/(3) \ in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rvwbyv20ssl85ngo1ttg05ytp1pp0agpbz.png)