To calculate the volume of the rectangular prism made of cubes, we first need to determine the volume of one individual cube and then multiply by the total number of cubes.
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Volume of One Cube: The formula for the volume of a cube is:
\[ \text{Volume} = \text{edge length}^3 \]
Given that the edge length of each cube is 12 inches:
\[ \text{Volume of one cube} = 12 , \text{inches} \times 12 , \text{inches} \times 12 , \text{inches} = 12^3 = 1728 , \text{cubic inches} \]
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Total Volume of the Rectangular Prism: Since there are 12 cubes in total, the total volume of the right rectangular prism packed with those cubes is:
\[ \text{Total Volume} = 12 \times 1728 , \text{cubic inches} = 20736 , \text{cubic inches} \]
None of the provided responses matches this calculated total volume, indicating there may have been a misunderstanding regarding the options or the context of the question. However, the volume of the rectangular prism containing 12 cubes of 12-inch edge length each is 20736 cubic inches.