Two similar rectangular prisms have corresponding linear dimensions in the ratio of 3 : 5. What is the ratio of their volumes?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question tests the understanding of the relationship between the linear scale factor and the volume ratio of similar 3D objects.
Key Concept Explanation
For two similar prisms, if the ratio of a corresponding linear dimension (such as radius) is , then the ratio of their volumes .
Step-by-step Solution
1. Identify the linear scale factor: 3 : 5
2. Calculate the volume ratio:
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