To find the volume of the rectangular prism made of the cubes, we need to calculate the volume of one cube and then multiply by the total number of cubes.
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Calculate the volume of one cube: The formula for the volume of a cube is \[ V = s^3 \] where \( s \) is the edge length of the cube. Given that the edge length of each cube is 12 inches, we can calculate:
\[ V = 12 , \text{inches} \times 12 , \text{inches} \times 12 , \text{inches} = 12^3 = 1728 , \text{cubic inches} \]
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Calculate the total volume of 12 cubes: Multiply the volume of one cube by the number of cubes: \[ \text{Total Volume} = 1728 , \text{cubic inches} \times 12 = 20736 , \text{cubic inches} \]
So the volume of the right rectangular prism packed with 12 cubes is 20736 cubic inches.
However, the provided responses seem to be mostly inaccurate or incorrect in terms of scale or context. Based on the calculations, none of the available options match the correct volume which is 20736 cubic inches, implying a potential problem with the response selection.