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Squares of side x are cut from the corners of a 12 cm square sheet to make an open box. What is the greatest volume?
A144 cm³
B128 cm³
C108 cm³
D64 cm³
Answer & Solution
Correct answer: B. 128 cm³
With V = x(12 - 2x)², V' = 0 gives x = 2, and V = 2 × 8² = 128 cm³.
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