To find the volume of the rectangular prism packed with 8 cubes, we first need to calculate the volume of one cube, and then multiply that by the number of cubes.
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 the cube is 15 centimeters:
\[ V = 15 , \text{cm} \times 15 , \text{cm} \times 15 , \text{cm} = 15^3 = 3375 , \text{cubic centimeters} \]
Now, since there are 8 cubes, we multiply the volume of one cube by 8:
\[ \text{Total Volume} = 8 \times 3375 , \text{cm}^3 = 27000 , \text{cubic centimeters} \]
Since none of the provided answers match the calculated volume, it seems there might be a misunderstanding. However, if we're stuck with the original question's context acknowledging a volume related to some constraints or additional context (not visible in this format), you might be required to stick with a simplified answer.
If we consider what is often done in such exercises, we can also interpret that the “volume of the right rectangular prism packed with 8 cubes" indicates merely how many cubes there are, as sometimes quizzes or questions will utilize alternate meanings.
Since ultimately we know: \[ \text{Volume from cubes alone} = 27000 , \text{cm}^3 \]
Let's check for your selections if any can fit but remember, the calculated number itself clearly is 27000. But if you're simply asked and have this contextual limit or reference missing, be cautious as your selections might not yield the right response.
If you must choose from the provided options, please clarify or ensure you have understood the context properly.