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practice examMultiple Choice

Practice Exam

Question 1 • 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 480 square meters than a cube with the surface area of 270 square meters?

Answer
A
square root of 210 m
B
square root of 35 m
C
square root of 5 m
D
7 square root of 5 m

Explanation

Using s = √(SA ÷ 6), the side lengths are √(480 ÷ 6) = √80 = 4√5 m and √(270 ÷ 6) = √45 = 3√5 m. Their difference is 4√5 − 3√5 = √5 m, so the side is √5 m longer. The correct choice is C, √5 m.

AI-written and checked against the verified answer.

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