To find the volume of a rectangular prism, we use the formula:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
In the case of the original rectangular prism with dimensions 6 cm, 5 cm, and 4 cm, the volume would be:
\[ \text{Volume} = 6 , \text{cm} \times 5 , \text{cm} \times 4 , \text{cm} = 120 , \text{cm}^3 \]
Now, if you want to find the volume of a similar rectangular prism with a scale factor that hasn't been specified in your question, you would use the same formula but scale the dimensions by the mentioned scale factor.
Since you have provided several answer choices and assuming the original volume is used directly, the volume of the new rectangular prism with the scale factor applied will depend on the specific scale factor given (which seems to be missing). However, based on the original volume calculation:
- The volume for the original prism is 120 cm³.
So, if we must select an answer without knowing the scale factor, the volume of the original rectangular prism is 120 cm³, which is one of the answer options provided. Thus, if you mean to include a scale factor and it was omitted, please provide it, or select 120 cm³ as the original volume.
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