If two similar rectangular prisms have corresponding linear dimensions in the ratio of 2 : 1, what is the ratio of their volumes?
Options
A
B
C
D
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question tests the understanding that the volume ratio is the cube of the linear scale factor.
Key Concept Explanation
For two similar solids, if the scale factor of their corresponding side lengths (or any linear dimension) is , then the ratio of their volumes is .
This is a fundamental property of similar solid geometry.
Step-by-step Solution
1. Identify the linear scale factor:
2. Calculate the volume ratio:
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