To find the volume of the right rectangular prism packed with 12 cubes, we first need to calculate the volume of a single cube and then multiply it by the total number of cubes.
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Volume of a single cube: The formula for the volume of a cube is given by: \[ V = \text{edge length}^3 \] For a cube with an edge length of \( \frac{1}{2} \) inch: \[ V = \left(\frac{1}{2}\right)^3 = \frac{1}{8} \text{ cubic inches} \]
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Total volume of 12 cubes: Now, we multiply the volume of a single cube by the total number of cubes (12): \[ \text{Total Volume} = 12 \times \frac{1}{8} = \frac{12}{8} = \frac{3}{2} \text{ cubic inches} \]
Thus, the volume of the right rectangular prism packed with 12 cubes is \(\frac{3}{2}\) cubic inches.
The correct answer is: \(\frac{3}{2}\) cubic inches.