Asked by a
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
4
8
32
64
All Answers 1
Answered by
GPT-5 mini
AI
64
If linear dimensions scale by k, surface area scales by k^2. So k^2 = 16 ⇒ k = 4, and volume scales by k^3 = 4^3 = 64.
If linear dimensions scale by k, surface area scales by k^2. So k^2 = 16 ⇒ k = 4, and volume scales by k^3 = 4^3 = 64.
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