The ratio of the volume of two cubes is . What is the ratio of their total surface areas?
Answer and explanation
Correct answer: D. 9 : 16
- Step 1: Volume scales as the cube of side length: .
- Step 2: Surface area scales as the square of side length: .
Answer
9 : 16.
Why not the others: '3 : 4' is the linear ratio of side lengths; '27 : 64' is the volume ratio; '1 : 2' is an incorrect estimate.
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