19
QuizMultiple Choice

Radical Functions — Test

Question 19 • Algebra II

The formula s is equal to square root of cap s cap A over 6 end root gives the length of the side, s , of a cube with a surface area, cap s cap A How much longer is the side of a cube with a surface area of 1 comma 200 square inches than a cube with the surface area of 768 square inches?

Answer
A
36 square root of 2 in.
B
2 square root of 2 in.
C
square root of 2 in.
D
4 square root of 2 in.

Explanation

Use s = √(SA ÷ 6) for each cube. For 1,200 square inches, the side length is √200 = 10√2 inches; for 768 square inches, it is √128 = 8√2 inches. The difference is 10√2 − 8√2 = 2√2 inches, so the correct choice is 2√2 in.

AI-written and checked against the verified answer.

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