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QuizMultiple Choice

Surface Area — Unit test

Question 3 • *22SS - 1207350 - Mathematics for College Liberal Arts - Sem. 2 - CR

The volume of a triangular prism is increased by a factor of 8.By what factor is the surface area of the figure increased?

Answer
A
2
B
4
C
16
D
24

Explanation

For a prism enlarged proportionally, volume scales with the cube of the linear scale factor. Since 2³ = 8, the linear dimensions are multiplied by 2. Surface area scales with the square of the linear factor, so it is multiplied by 2² = 4; the correct choice is 4.

AI-written and checked against the verified answer.

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