Mathematics · Maxima and Minima
A box open from the top is made from a rectangular sheet of dimension a × b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to:
- 1a + b - √(a2 + b2 + ab)4
- 2a + b - √(a2 + b2 + ab)6
- 3a + b - √(a2 + b2 - ab)12
- 4a + b - √(a2 + b2 - ab)6✓
Correct answer
a + b - √(a2 + b2 - ab)6
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