alleryStart learning →Squares of side x are cut from the corners of a 12 cm square sheet to make an open box. Which x maximises volume?
A1 cm
B3 cm
C4 cm
D2 cm
Answer & Solution
Correct answer: D. 2 cm
V = x(12 - 2x)^2 has derivative 12(x - 2)(x - 6), so the maximum in 0 < x < 6 is at x = 2.
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