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An open box is made from an 18 cm square sheet by cutting corner squares. Which cut side gives maximum volume?

A3 cm
B4 cm
C2 cm
D6 cm
Answer & Solution
Correct answer: A. 3 cm
V = x(18 - 2x)^2 has V' = (18 - 2x)(18 - 6x), which is zero at x = 3 inside the allowed range.
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